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A162686
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G.f. is the polynomial (Product_{k=1..24} (1 - x^(3*k)))/(1-x)^24.
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1
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1, 24, 300, 2599, 17526, 97980, 472419, 2018226, 7790145, 27571180, 90507690, 278110755, 805927980, 2216192760, 5813100315, 14608785961, 35307910374, 82339194540, 185806904840, 406753277760, 865727550900, 1795032947941
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OFFSET
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0,2
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COMMENTS
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This is a row of the triangle in A162499. Only finitely many terms are nonzero.
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LINKS
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MAPLE
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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
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MATHEMATICA
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CoefficientList[Series[Times@@(1-x^(3*Range[24]))/(1-x)^24, {x, 0, 50}], x] (* G. C. Greubel, Jul 06 2018 *)
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PROG
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(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
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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