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A234357 Array T(n,k) by antidiagonals: T(n,k) = n^k * Fibonacci(k). 5
1, 2, 2, 3, 8, 3, 4, 18, 24, 5, 5, 32, 81, 80, 8, 6, 50, 192, 405, 256, 13, 7, 72, 375, 1280, 1944, 832, 21, 8, 98, 648, 3125, 8192, 9477, 2688, 34, 9, 128, 1029, 6480, 25000, 53248, 45927, 8704, 55, 10, 162, 1536, 12005, 62208, 203125, 344064, 223074, 28160, 89, 11, 200, 2187 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..57.

FORMULA

G.f. of n-th row: 1/(1 - n*x - n^2*x^2).

Recurrence: T(n,k) = n*T(n,k-1) + n^2*T(n,k-2), starting n, 2*n^2.

EXAMPLE

Array starts:

1,  2,   3,    5,     8,     13,    21,   34, 55, 89,...    (A000045)

2,  8,  24,   80,   256,    832,  2688, 8704,...   (A063727, A085449)

3, 18,  81,  405,  1944,   9477, 45927,...         (A122069, A099012)

4, 32, 192, 1280,  8192,  53248,...                         (A099133)

5, 50, 375, 3125, 25000, 203125,...

6, 72, 648, 6480, 62208, 606528,...

...

Columns: A000027, A001105, A117642.

PROG

(PARI) T(n, k)=n^k*fibonacci(k)

(PARI) T(n, k)=polcoeff(Ser(1/(1-n*x-n^2*x^2)), k)

CROSSREFS

Sequence in context: A296804 A296952 A141611 * A145596 A186753 A135835

Adjacent sequences:  A234354 A234355 A234356 * A234358 A234359 A234360

KEYWORD

nonn,tabl

AUTHOR

Ralf Stephan, Dec 24 2013

STATUS

approved

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Last modified October 19 22:28 EDT 2018. Contains 316378 sequences. (Running on oeis4.)