MathNovatory/Pure Maths/Fibonacci Numbers/Lucas Numbers


Numerical Pretention

29
11 18
11 7 11
4 7 7 4 7
4 3 4 3 4 4 3 4
1 3 3 1 3 3 1 3 1 3 3 1 3

Details Of The Layers
     29 is composed of 1 pile of 11 plus 1 pile of 18
     29 is composed of 1 pile of 7 plus 2 piles of 11
     29 is composed of 2 piles of 4 plus 3 piles of 7
     29 is composed of 3 piles of 3 plus 5 piles of 4
     29 is composed of 5 piles of 1 plus 8 piles of 3
The values of each pile (1, 3, 4, 7, 18) are Lucas numbers, but
     the "times functions" (1, 2, 3, 5, 8) are all Fibonacci numbers,
          which can only be observed by counting the values in each row.
The Lucas numbers seem to be parasites clinging to the back of the Fibonacci infrastructure.