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A162637
G.f. is the polynomial (Product_{k=1..17} (1 - x^(3*k)))/(1-x)^17.
1
1, 17, 153, 968, 4828, 20196, 73643, 240295, 714969, 1967393, 5061733, 12282075, 28304167, 62307023, 131649309, 268075466, 527904757, 1008342693, 1873000449, 3390989490, 5995666674, 10371347659, 17579210264, 29237321394, 47774409494
OFFSET
0,2
COMMENTS
This is a row of the triangle in A162499. Only finitely many terms are nonzero.
LINKS
MAPLE
m:=17: seq(coeff(series(mul((1-x^(3*k)), k=1..m)/(1-x)^m, x, n+1), x, n), n=0..24); # Muniru A Asiru, Jul 07 2018
MATHEMATICA
CoefficientList[Series[Times@@(1-x^(3*Range[17]))/(1-x)^17, {x, 0, 50}], x] (* G. C. Greubel, Jul 06 2018 *)
PROG
(PARI) x='x+O('x^50); A = prod(k=1, 17, (1-x^(3*k)))/(1-x)^17; Vec(A) \\ G. C. Greubel, Jul 0762018
(Magma) m:=50; R<x>:=PowerSeriesRing(Integers(), m); F:=(&*[(1-x^(3*k)): k in [1..17]])/(1-x)^17; Coefficients(R!(F)); // G. C. Greubel, Jul 06 2018
CROSSREFS
Sequence in context: A221737 A139617 A188353 * A247613 A010969 A022582
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Dec 02 2009
STATUS
approved