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A225415 Triangle read by rows: absolute values of odd-numbered rows of A225434. 1
1, 1, 58, 1, 1, 1556, 12006, 1556, 1, 1, 39054, 1461615, 5647300, 1461615, 39054, 1, 1, 976552, 135028828, 1838120344, 4873361350, 1838120344, 135028828, 976552, 1, 1, 24414050, 11462721645, 414730580760 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..29.

EXAMPLE

Triangle begins:

1,

1, 58, 1,

1, 1556, 12006, 1556, 1,

1, 5647300, 1461615, 39054, 1,

1, 976552, 135028828, 1838120344, 4873361350, 1838120344,135028828,976552,1

MATHEMATICA

l = 4; A[n_, 1] := 1; A[n_, n_] := 1;

A[n_, k_] :=

A[n, k] = (l*n - l*k + 1) A[n - 1, k - 1] + (l*k - (l - 1)) A[n - 1, k];

B[n_, k_] := B[n, k] = A[n + 1, k + 1];

Flatten[Table[CoefficientList[FullSimplify[ExpandAll[Sum[B[n, k]*x^k, {k, 0, n}]/(x + 1)]], x], {n, 1, 14, 2}]]

CROSSREFS

The m=4 triangle in the sequence A034870 (m=0), A171692 (m=1), A225076 (m=2), A225398 (m=3).

Sequence in context: A301558 A022082 A225434 * A033378 A259082 A105326

Adjacent sequences:  A225412 A225413 A225414 * A225416 A225417 A225418

KEYWORD

nonn,tabf

AUTHOR

Roger L. Bagula, May 07 2013

EXTENSIONS

Edited by N. J. A. Sloane, May 11 2013

STATUS

approved

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Last modified October 20 22:44 EDT 2019. Contains 328291 sequences. (Running on oeis4.)