Fibonacci, and Lucas numbers, Patterns

Fibonacci numbers, are numbers with the pattern, you have to add the past number, and add it to the present number.

The Fibonacci numbers are:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987

Lucas numbers are numbers that have the same number pattern as the Fibonacci sequence, but start at 1, and 3.

The Lucas numbers are:

1, 3, 4, 7, 11,18, 29, 47, 76, 123, 199, 322, 521, 841, 1362.