A162632 G.f. is the polynomial (Product_{k=1..14} (1 - x^(3*k)))/(1-x)^14.

1, 14, 105, 559, 2366, 8463, 26571, 75126, 194817, 469728, 1064166, 2284086, 4675748, 9179014, 17358666, 31744441, 56319263, 97205511, 163611175, 269111465, 433356858, 684315658, 1061177819, 1618066905, 2428728445

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..301

Maple

m:=14: 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[14])))/(1-x)^14, {x, 0, 30}], x] (* Harvey P. Dale, Apr 28 2018 *)

Prog

(PARI) x='x+O('x^50); A = prod(k=1, 14, (1-x^(3*k)))/(1-x)^14; Vec(A) \\ G. C. Greubel, Jul 06 2018
(Magma) m:=50; R<x>:=PowerSeriesRing(Integers(), m); F:=(&*[(1-x^(3*k)): k in [1..14]])/(1-x)^14; Coefficients(R!(F)); // G. C. Greubel, Jul 06 2018

Crossrefs

Sequence in context: A131709 A139614 A068390 * A220893 A008506 A010966

Adjacent sequences: A162629 A162630 A162631 * A162633 A162634 A162635

Keyword

nonn

Author

N. J. A. Sloane, Dec 02 2009

Status

approved