A131609 Mirror image of triangle in A131606.

1, 1, 1, 1, 1, 1, 1, 2, 4, 8, 1, 3, 9, 27, 81, 1, 5, 25, 125, 625, 3125, 1, 8, 64, 512, 4096, 32768, 262144, 1, 13, 169, 2197, 28561, 371293, 4826809, 62748517, 1, 21, 441, 9261, 194481, 4084101, 85766121, 1801088541, 37822859361, 1, 34, 1156, 39304

Offset: 0

Author

Roger L. Bagula and Gary W. Adamson, May 27 2008

Keywords

• nonn
• tabl
• easy

Comments

Row sums give A131612,

Examples

			Triangle begins:
1
1 1
1 1 1
1 2 4  8
1 3 9  27  81
1 5 25 125 625  3125
1 8 64 512 4096 32768 262144
...
		

Links

• Nathaniel Johnston, Table of n, a(n) for n = 0..1325

Crossrefs

Cf. A000045, A131606.

Programs

Maple

with(combinat): A131609 := proc(n,k) return fibonacci(n)^k: end: seq(seq(A131609(n,k), k=0..n), n=0..10); # Nathaniel Johnston, May 01 2011

Formula

Row n gives f^0, f^1, f^2, ..., f^n, where f = Fibonacci(n) = A000045(n).

Extensions

Edited by N. J. A. Sloane, May 28 2008