A131606 -id:A131606 - cp's OEIS frontend

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

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

Row sums give A131612,

			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
...

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

Cf. A000045, A131606.

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

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

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

A131612 (Fibonacci(n)^(n+1)-1)/(Fibonacci(n)-1).

Original entry on oeis.org

1, 2, 3, 15, 121, 3906, 299593, 67977560, 39714002329, 62556901638175, 257985813269495081, 2806709131423433412540, 80052769211806164721787281, 5990939163682951316587217125254, 1174714712853607653027182667701045767, 603476089599958368340121395090311986863711

Offset: 0

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

nonn

Row sums of A131606 and A131609.

f[n_]:=Module[{fn=Fibonacci[n]},(fn^(n+1)-1)/(fn-1)]; Join[{1,2,3},f/@Range[3,20]]  (* Harvey P. Dale, Mar 01 2011 *)

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

cp's OEIS Frontend

A131609 Mirror image of triangle in A131606.

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