A162686 G.f. is the polynomial (Product_{k=1..24} (1 - x^(3*k)))/(1-x)^24.

1, 24, 300, 2599, 17526, 97980, 472419, 2018226, 7790145, 27571180, 90507690, 278110755, 805927980, 2216192760, 5813100315, 14608785961, 35307910374, 82339194540, 185806904840, 406753277760, 865727550900, 1795032947941

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..876

Maple

m:=24: seq(coeff(series(mul((1-x^(3*k)), k=1..m)/(1-x)^m, x, n+1), x, n), n=0..21); # Muniru A Asiru, Jul 07 2018

Mathematica

CoefficientList[Series[Times@@(1-x^(3*Range[24]))/(1-x)^24, {x, 0, 50}], x] (* G. C. Greubel, Jul 06 2018 *)

Prog

(PARI) x='x+O('x^50); A = prod(k=1, 24, (1-x^(3*k)))/(1-x)^24; Vec(A) \\ G. C. Greubel, Jul 06 2018
(Magma) m:=50; R<x>:=PowerSeriesRing(Integers(), m); F:=(&*[(1-x^(3*k)): k in [1..24]])/(1-x)^24; Coefficients(R!(F)); // G. C. Greubel, Jul 06 2018

Crossrefs

Sequence in context: A073990 A056290 A056285 * A010976 A100130 A014103

Adjacent sequences: A162683 A162684 A162685 * A162687 A162688 A162689

Keyword

nonn

Author

N. J. A. Sloane, Dec 02 2009

Status

approved