Lucas sequence calculator
World's simplest number toolQuickly calculate Lucas sequence in your browser. To get your sequence, just specify the starting value and the length of the series in the options below, and this utility will generate that many Lucas numbers. Created by developers from team Browserling.
A link to this tool, including input, options and all chained tools.
Can't convert.
What is a lucas sequence calculator?
learn more about this toolThis is an online browser-based utility for calculating a list of Lucas numbers. Similar to the Fibonacci sequence, each Lucas number is defined as a sum of its two previous terms. The first two Lucas numbers are L₀ = 2 and L₁ = 1, which are the opposite of the first two Fibonacci numbers F₀ = 1 and F₁ = 2. With this tool, you can start generating the Lucas series from any value by just enter it in the options above. You can also specify the exact number of terms in the list and customize term separator. That's numberwang!
Lucas sequence calculator examples
Click to use50 Numbers of Lucas Series
In this example, we calculate the first fifty Lucas numbers and use the comma symbol to separate them.
2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843, 1364, 2207, 3571, 5778, 9349, 15127, 24476, 39603, 64079, 103682, 167761, 271443, 439204, 710647, 1149851, 1860498, 3010349, 4870847, 7881196, 12752043, 20633239, 33385282, 54018521, 87403803, 141422324, 228826127, 370248451, 599074578, 969323029, 1568397607, 2537720636, 4106118243, 6643838879, 10749957122, 17393796001
Required options
Enter the number to start
the Lucas sequence from.
the Lucas sequence from.
Enter the number of Lucas
terms you want to calculate.
terms you want to calculate.
Enter the character that will
separate Lucas numbers.
(By default a line break.)
separate Lucas numbers.
(By default a line break.)
Lucas Numbers from 10,000,000
In this example, we start generating the Lucas series from the value of ten million. As the number 10,000,000 is not a Lucas number, this utility searches for the next nearest Lucas term (12,752,043) and calculates all remaining requested values.
12752043
20633239
33385282
54018521
87403803
141422324
228826127
370248451
Required options
Enter the number to start
the Lucas sequence from.
the Lucas sequence from.
Enter the number of Lucas
terms you want to calculate.
terms you want to calculate.
Enter the character that will
separate Lucas numbers.
(By default a line break.)
separate Lucas numbers.
(By default a line break.)
Pro tips Master online number tools
You can pass options to this tool using their codes as query arguments and it will automatically compute output. To get the code of an option, just hover over its icon. Here's how to type it in your browser's address bar. Click to try!
https://onlinetools.com/number/calculate-lucas-numbers?start=0&count=50&separator=%252C%20
All number tools
Quickly create a list of numbers in arithmetic series.
Quickly create a list of numbers in geometric series.
Quickly calculate the coefficients of the binomial expansion.
Quickly create a downloadable image from numbers.
Quickly create a list of random numbers.
Quickly create a list of random primes from a specific interval.
Quickly create a matrix with random numbers as its elements.
Quickly create a random row or column vector.
Quickly exchange rows and columns of a matrix.
Quickly find the inverse matrix of any square matrix.
Quickly find the determinant of any square matrix.
Quickly calculate any number of digits of number π.
Quickly generate the specified number of Euler constant's digits.
Quickly generate any number of golden ratio digits.
Quickly generate numbers of say what you see sequence.
Quickly calculate numbers of Fibonacci sequence.
Quickly calculate numbers of Lucas series.
Quickly generate Fibonacci-like series with custom start values.
Quickly calculate members of a linear recurrence series.
Quickly create a sequence of prime numbers.
Quickly check if the given number is a prime.
Quickly compute all prime factors of a number.
Quickly compute all divisors of a number.
Quickly calculate the GCD of two or more numbers.
Quickly calculate the LCM of two or more numbers.
Quickly create a list of increasing or decreasing integers.
Quickly create a sequence of even numbers.
Quickly create a sequence of odd numbers.
Quickly create a list of squares.
Quickly create a list of cubes.
Quickly generate a series of numbers in the form 2^n.
Quickly generate a series of numbers in the form 10^n.
Quickly choose one or more numbers from a list of numbers.
Quickly round one or more numbers to the given accuracy.
Quickly sort numbers in ascending or descending order.
Quickly sort number's digits in ascending or descending order.
Quickly randomize the order of digits in a number.
Quickly filter numbers according to certain criteria.
Quickly add up all the numbers in the given list and find their sum.
Quickly multiply all the numbers together and find their product.
Quickly add up all the digits of the given numbers.
Quickly multiply all the digits of the given numbers.
Quickly sum up all the fractions in the given list and find their total.
Quickly find the largest number in a number sequence.
Quickly find the smallest number in a number sequence.
Quickly create a diagonal matrix with ones on the main diagonal.
Quickly spell cardinal and ordinal numbers using English words.
Quickly convert spelled numbers to regular numbers.
Quickly convert a number to the form 2^x.
Quickly express a number in the form 10^x.
Quickly convert base 10 numbers to base -10.
Quickly convert a number from one base to any other base.
Quickly convert simple fractions to pretty Unicode fractions.
Quickly add digits to a number so that it becomes a palindrome.
Quickly test if the given numbers are palindromes.
Coming soon These number tools are on the way
Generate Numberwang Numbers
Create a list of numberwang numbers.
Generate Magic Numbers
Create a list of neat looking numbers.
Draw a Magic Square
Create a matrix of numbers with rows and cols having same sum.
Rewrite Numbers
Given numbers and a grammar, recursively rewrite them.
Create a Floating Point Number
Create a number from the mantissa, base, and exponent.
Visualize a Floating Point Number
Show how a fp number is represented in a computer.
Convert a Number to the Scientific Notation
Convert a number to the a×10<sup>b</sup> form.
Convert Scientific Notation to a Number
Convert a number in scientific notation to a regular number.
Generate Unary Numbering
Create a list of unary numbers (1, 11, 111, 1111, …).
Generate Symbolic Numbering
Create a list of alphabetic numbers (a, b, c, …, z, aa, ab, …).
Generate Roman Numbering
Create a list of Roman numbers (i, ii, iii, iv, v…).
Generate Braille Numbering
Create a list of Braille numbers (⠂, ⠆, ⠒, ⠲, ⠢, …).
Generate Random Binary Numbers
Create a list of random binary numbers.
Generate Random Octal Numbers
Create a list of random octal numbers.
Generate Random Decimal Numbers
Create a list of random decimal numbers.
Generate Random Hex Numbers
Create a list of random hexadecimal numbers.
Calculate a Running Sum
Calculate a cumulative sum of a list of numbers.
Calculate a Running Difference
Calculate a cumulative difference of a list of numbers.
Calculate a Running Product
Calculate a cumulative product of a list of numbers.
Calculate Number Quotient
Divide two numbers and find their quotient.
Calculate Digit Quotient
Divide the digits of the given number.
Calculate the Factorial
Find the factorial of a number.
Create Number Anagrams
Create one or more anagrams of a number.
Generate Number Bigrams
Create a list of digit bigrams from a number.
Generate Number Trigrams
Create a list of digit trigrams from a number.
Generate Number N-grams
Create a list of digit ngrams from a number.
Generate a Polynomial Sequence
Create a list of polynomial progression numbers.
Generate SI Prefixes
Create a list of metric prefixes.
Analyze a Number
Report how many digits appear how many times.
Convert a Number to an Ordinal
Convert a cardinal number to an ordinal number.
Convert an Ordinal to a Number
Convert an ordinal number to a cardinal number.
Convert a Number to Roman Number
Convert Arabic numerals to Roman numerals.
Convert a Roman Number to Regular Number
Convert Roman Numerals to Arabic numerals.
Generate Negafibonacci Numbers
Calculate a series of extended Fibonacci numbers.
Generate Fibonacci Primes
Find numbers that are both Fibonacci numbers and primes.
Fibonacci Number Test
Check if a number is a Fibonacci number.
Fibonacci Prime Test
Check if a number is both a Fibonacci number and a prime.
Construct Fibonacci Words
Create a sequence of Fibonacci words.
Construct Tribonacci Words
Create a sequence of Tribonacci words.
Construct Tetranacci Words
Create a sequence of Tetranacci words.
Construct Pentanacci Words
Create a sequence of Pentanacci words.
Generate Negalucas Numbers
Calculate a series of extended Lucas numbers.
Generate Lucas Primes
Calculate a series of extended Lucas numbers.
Lucas Prime Test
Check if a number is both a Lucas number and a prime.
Generate Moser de Bruijn Numbers
Calculate a sequence of Moser-Bruijn numbers.
Generate Kolakoski Numbers
Calculate a sequence of Oldenburger-Kolakoski numbers.
Generate Stanley Numbers
Calculate a sequence of Stanley numbers.
Generate Gijswijt Numbers
Calculate a sequence of self-describing Gijswijt numbers.
Generate Rudin-Shapiro Numbers
Calculate a sequence of Rusin-Shapiro numbers.
Generate Baum-Sweet Numbers
Calculate a sequence of Baum-Sweet numbers.
Generate Thue-Morse Sequence
Calculate members of Thue-Morse number series.
Generate Perfect Numbers
Create a list of perfect numbers.
Generate Almost Perfect Numbers
Create a list of almost perfect numbers.
Generate Excessive Number Sequence
Calculate a sequence of abundant numbers.
Generate Deficient Number Sequence
Calculate a sequence of deficient numbers.
Calculate Dragon Curve Numbers
Generate a list of paperfolding sequence numbers.
Generate Composite Numbers
Create a list of numbers that are not prime.
Draw a Number on an LCD
Generate an LCD display that shows the given number.
Draw a Numbers Table
Generate a table of numbers.
Test if a Number is Perfect
Check if the given number is a perfect number.
Test if a Number is Abundant
Check if the given number is an abundant number.
Test if a Number is Deficient
Check if the given number is a deficient number.
Calculate the Modulo
Find the modulus of a number.
Group Number Digits
Group together digits of a number.
Split a Number into Digits
Create a list of digits from a number.
Printf Numbers
Apply sprintf or printf function to numbers.
Create Zalgo Numbers
Let Zalgo destroy your numbers.
Repeat a Number
Repeat a number multiple times.
Mirror a Number
Create a mirror copy of a number.
Zero-pad a Number
Add zeros to a number.
Custom-pad a Number
Add a padding of custom symbols to a number.
Reverse a Number
Reverse the order of digits of a number.
Rotate a Number
Cyclically rotate digits of a number to the left or right.
Increase a Number
Add one to the given number.
Increase All Digits in a Number
Add one to every digit in a number.
Decrease a Number
Subtract one from the given number.
Decrease All Digits in a Number
Subtract one from every digit in a number.
Find Patterns in Numbers
Discover patterns in sequences of numbers.
Count Number Occurrences
Find how often numeric values occur.
Calculate Percentages
Find x% of a number.
Generate Custom Numbers
Create numbers of arbitrary length and properties.
Print Googol
Print the Googol/Google number, which is 10<sup>100</sup>.
Generate Big Numbers
Create a list of big numbers.
Generate Small Numbers
Create a list of small numbers.
Generate Natural Numbers
Create a list of natural numbers.
Generate Rational Numbers
Create a list of rational numbers.
Generate Constant Sequence
Create a series of numbers where all terms are the same.
Generate Real Numbers
Create a sequence of real numbers.
Generate Complex Numbers
Create a list of complex numbers.
Generate Binary Numbers
Create a sequence of binary numbers.
Generate Pairs of Numbers
Create a sequence of number pairs.
Generate Triples of Numbers
Create a sequence of number triples.
Generate Tuples of Numbers
Create a sequence of number n-tuples.
Generate a Short Number
Create a number with not that many digits.
Generate a Long Number
Create a number with many digits.
Interweave Numbers
Interweave two or more number digit-by-digit.
Find the Decimal Expansion of a Number
Rewrite a number in the decimal representation.
Convert a Fraction to a Decimal
Convert a fraction to a decimal number.
Convert a Decimal to a Fraction
Convert a decimal number to a fraction.
Convert a Binary Number to Octal Number
Convert a base two number to base eight number.
Convert a Binary Number to Decimal Number
Convert a base two number to base ten number.
Convert a Binary Number to Hex Number
Convert a base two number to base sixteen number.
Convert a Octal Number to Binary Number
Convert a base eight number to base two number.
Convert a Octal Number to Decimal Number
Convert a base eight number to base ten number.
Convert a Octal Number to Hex Number
Convert a base eight number to base sixteen number.
Convert a Decimal Number to Binary Number
Convert a base ten number to base two number.
Convert a Decimal Number to Octal Number
Convert a base ten number to base eight number.
Convert a Decimal Number to Hex Number
Convert a base ten number to base sixteen number.
Convert a Hex Number to Binary Number
Convert a base sixteen number to base two number.
Convert a Hex Number to Octal Number
Convert a base sixteen number to base eight number.
Convert a Hex Number to Decimal Number
Convert a base sixteen number to base ten number.
Convert Any Number to Any Base
Convert any number in any base to any other base.
Change Number's Mantissa
Change the significand of a number.
Change Number's Exponent
Change the power of a number.
Replace Digits with Letters
Replace digits in a number with alphabet letters.
Create a Number Spiral
Form a spiral from the digits of a number.
Create a Number Circle
Form a circle from the digits of a number.
Create a Number Tree
Form a tree from the given numbers.
Create a Number Digit Tree
Form a tree from the digits of a number.
Remove Decimal Point
Remove the decimal separator from a decimal number.
Add Errors to Numbers
Modify numbers so they are almost the same but have errors.
Create Number Typos
Generate various number typos.
Change Number Font
Write numbers in a different font.
Generate Bold Numbers
Write numbers in a bold font.
Generate Underline Numbers
Write numbers with an underline below them.
Generate Strikethrough Numbers
Write numbers with a strikethrough on them.
Generate Superscript Numbers
Write numbers in a superscript font.
Generate Subscript Numbers
Write numbers in a subscript font.
Create Fake Numbers
Change digits in a number to Unicode look-alikes.
Perturb Numbers
Change the given numbers a little bit.
Perturb Number Digits
Change the digits of the given numbers a little bit.
Find Entropy of a Number
Calculate the complexity (entropy) of a number.
Numberwang Number Test
Test if the given number is numberwang.
Subscribe! Never miss an update
Cool!
Notifications We'll let you know when we add this tool
Cool!
Feedback we'd love to hear from you!
Created with love by ![browserling]()
51K
@browserling
We're Browserling — a friendly and fun cross-browser testing company powered by alien technology. At Browserling we love to make peoples' lives easier, so we created this collection of number crunching tools. Our tools have the simplest user interface that doesn't require advanced computer skills and they are used by millions of people every month. Our number tools are actually powered by our web developer tools that we created over the last couple of years. Check them out!
Secret message
If you love our tools, then we love you, too! Use coupon code NUMBERLING to get a discount for our premium plans.
Privacy Policy we don't log data!
All conversions and calculations are done in your browser using JavaScript. We don't send a single bit about your input data to our servers. There is no server-side processing at all. We use Google Analytics and StatCounter for site usage analytics. Your IP address is saved on our web server for additional analytics. The free plan doesn't use cookies and don't store session information in cookies. The premium and team plans use cookies to store session information so that you are always logged in. We use your browser's local storage to save tools' input. It stays on your computer.
Terms of Service the legal stuff
By using Online Tools you agree to our Terms of Service. All tools are free for personal use but to use them for commercial purposes, you need to get a premium plan. You can't do illegal or shady things with our tools. We may block your access to tools, if we find out you're doing something bad. We're not liable for your actions and we offer no warranty. We may revise our terms at any time.