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A162539 G.f. is the polynomial (1-x^3) * (1-x^6) * (1-x^9) * (1-x^12) * (1-x^15) * (1-x^18) / (1-x)^6. 1

%I

%S 1,6,21,55,120,231,405,660,1014,1484,2085,2829,3724,4773,5973,7315,

%T 8784,10359,12013,13713,15420,17091,18681,20145,21440,22527,23373,

%U 23952,24246,24246,23952,23373,22527,21440,20145,18681,17091,15420,13713

%N G.f. is the polynomial (1-x^3) * (1-x^6) * (1-x^9) * (1-x^12) * (1-x^15) * (1-x^18) / (1-x)^6.

%C This is a row of the triangle in A162499. Only finitely many terms are nonzero.

%H G. C. Greubel, <a href="/A162539/b162539.txt">Table of n, a(n) for n = 0..57</a>

%t CoefficientList[ Series[Times @@ (1 - x^(3 Range@6))/(1 - x)^6, {x, 0, 70}], x] (* _G. C. Greubel_, Jul 06 2018 and slightly modified by _Robert G. Wilson v_, Jul 23 2018 *)

%o (PARI) x='x+O('x^58); Vec((1-x^3)*(1-x^6)*(1-x^9)*(1-x^12)*(1-x^15)*(1-x^18)/(1-x)^6) /* complete row */ \\ _G. C. Greubel_, Jul 06 2018

%o (MAGMA) m:=58; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!((1-x^3)*(1-x^6)*(1-x^9)*(1-x^12)*(1-x^15)*(1-x^18)/(1-x)^6)); /* complete row */ // _G. C. Greubel_, Jul 06 2018

%K nonn

%O 0,2

%A _N. J. A. Sloane_, Dec 02 2009

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Last modified February 20 08:05 EST 2020. Contains 332069 sequences. (Running on oeis4.)