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A168623 Table T(n,k) read by rows: Coefficients [x^k] of the polynomial 9*(x+1)^n -8*(x^n+1); T(0,0)=1. 0
1, 1, 1, 1, 18, 1, 1, 27, 27, 1, 1, 36, 54, 36, 1, 1, 45, 90, 90, 45, 1, 1, 54, 135, 180, 135, 54, 1, 1, 63, 189, 315, 315, 189, 63, 1, 1, 72, 252, 504, 630, 504, 252, 72, 1, 1, 81, 324, 756, 1134, 1134, 756, 324, 81, 1, 1, 90, 405, 1080, 1890, 2268, 1890, 1080, 405, 90, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Row sums are 9*2^n-16 if n>0: 1, 2, 20, 56, 128, 272, 560,...

LINKS

Table of n, a(n) for n=0..65.

EXAMPLE

1;

1, 1;

1, 18, 1;

1, 27, 27, 1;

1, 36, 54, 36, 1;

1, 45, 90, 90, 45, 1;

1, 54, 135, 180, 135, 54, 1;

1, 63, 189, 315, 315, 189, 63, 1;

1, 72, 252, 504, 630, 504, 252, 72, 1;

1, 81, 324, 756, 1134, 1134, 756, 324, 81, 1;

1, 90, 405, 1080, 1890, 2268, 1890, 1080, 405, 90, 1;

MATHEMATICA

m = 4; p[x_, n_] := If[n == 0, 1, (2*m + 1)(x + 1)^n - 2*m*(x^n + 1)]

a = Table[CoefficientList[p[x, n], x], {n, 0, 10}];

Flatten[a]

CROSSREFS

Cf. A132047

Sequence in context: A040326 A040325 A040324 * A146774 A174451 A144405

Adjacent sequences:  A168620 A168621 A168622 * A168624 A168625 A168626

KEYWORD

nonn,tabl

AUTHOR

Roger L. Bagula and Gary W. Adamson, Dec 01 2009

EXTENSIONS

Keyword:tabl and row sum formula added - The Assoc. Editors of the OEIS, Dec 05 2009

STATUS

approved

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Last modified August 20 08:27 EDT 2019. Contains 326143 sequences. (Running on oeis4.)