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A162736
G.f. is the polynomial (Product_{k=1..30} (1 - x^(3*k)))/(1-x)^30.
2
1, 30, 465, 4959, 40890, 277791, 1618199, 8306730, 38329299, 161383520, 627356796, 2272915164, 7734020120, 24874638204, 76028550900, 221849950497, 620471946324, 1669004265525, 4330837858674, 10869702783150, 26449453637412
OFFSET
0,2
COMMENTS
This is a row of the triangle in A162499. Only finitely many terms are nonzero.
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1365 (terms 0..1000 from Harvey P. Dale)
MATHEMATICA
CoefficientList[Series[Times@@(1-x^Range[3, 90, 3])/(1-x)^30, {x, 0, 20}], x] (* Harvey P. Dale, Oct 04 2011 *)
PROG
(PARI) x='x+O('x^50); A = prod(k=1, 30, (1-x^(3*k)))/(1-x)^30; Vec(A) \\ G. C. Greubel, Jul 07 2018
(Magma) m:=50; R<x>:=PowerSeriesRing(Integers(), m); F:=(&*[(1-x^(3*k)): k in [1..30]])/(1-x)^30; Coefficients(R!(F)); // G. C. Greubel, Jul 07 2018
CROSSREFS
Sequence in context: A161573 A161976 A162377 * A010982 A022594 A321955
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Dec 02 2009
STATUS
approved