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

0,8

Comments

Row sums give A131612,

Links

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

Formula

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

Example

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
...

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

Crossrefs

Cf. A000045, A131606.

Sequence in context: A008952 A268516 A021407 * A210022 A210026 A100880

Adjacent sequences: A131606 A131607 A131608 * A131610 A131611 A131612

Keyword

nonn,tabl,easy

Author

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

Extensions

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

Status

approved