OFFSET
0,3
COMMENTS
EXAMPLE
1;
1, 2;
1, 7, 1;
1, 16, 10;
1, 30, 45, 5;
1, 50, 141, 50, 1;
1, 77, 357, 266, 28;
1, 112, 784, 1016, 266, 8;
1, 156, 1554, 3139, 1554, 156, 1;
1, 210, 2850, 8350, 6765, 1452, 55;
1, 275, 4917, 19855, 24068, 9042, 880, 11;
MAPLE
A178618 := proc(n, k)
(1-x)^(n+1)*add( binomial(n+3*j, 3*j)*x^j, j=0..n+1) ;
coeftayl(%, x=0, k) ;
end proc:
seq(seq(A178618(n, k), k=0..n), n=0..8) ; # R. J. Mathar, Nov 05 2012
MATHEMATICA
p[x_, n_] = (-1)^(n + 1)*(-1 + x)^(n + 1)*Sum[Binomial[n + 3*k, 3*k]*x^k, {k, 0, Infinity}]
Flatten[Table[CoefficientList[FullSimplify[ExpandAll[p[x, n]]], x], {n, 0, 10}]]
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Roger L. Bagula, May 30 2010
STATUS
approved