The following was copied from the Wikipedia. "The Lucas numbers are an integer sequence named after the mathematician Francois Edouard Anatole Lucas (1842-1891), who studied both that sequence and the closely related Fibonacci numbers (both are Lucas sequences). The ratio between two consecutive Lucas numbers converges to the golden ratio."

L(0) = 2; L(1) = 1 L(n) = L(n - 1) + L(n - 2) where n is an integer such that n > 12, 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, .......,This collection was created when the Lucas numbers 1-199 had nBABs.

OEIS.org::id:A000032

MathBabbler took C++ code that he had written for the Padovan sequence and used it to create a program that prints the first few numbers of the Lucas sequence. The program, which is also a function, takes a number as input and determines if the number is in the Lucas sequence.

GDT::Math::MBNA::Lucas Sequence C++ source code

**Creator:** Gerald Thurman
[gthurman@gmail.com]

**Created:** 19 December 2009

```
+ added 322 on 19 December 2009
```

+ added 521 on 27 June 2018

This work is licensed under a
Creative Commons Attribution 3.0 United States License.