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A162732 G.f. is the polynomial (Product_{k=1..29} (1 - x^(3*k)))/(1-x)^29. 1

%I #13 Sep 08 2022 08:45:46

%S 1,29,435,4494,35931,236901,1340408,6688531,30022569,123054221,

%T 465973276,1645558368,5461104956,17140618084,51153912696,145821399597,

%U 398621995827,1048532319201,2661833593149,6538864924476,15579750854262

%N G.f. is the polynomial (Product_{k=1..29} (1 - x^(3*k)))/(1-x)^29.

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

%H G. C. Greubel, <a href="/A162732/b162732.txt">Table of n, a(n) for n = 0..1276</a>

%p m:=29: seq(coeff(series(mul((1-x^(3*i)),i=1..m)/(1-x)^m, x,n+1),x,n),n=0..21); # _Muniru A Asiru_, Jul 07 2018

%t CoefficientList[Series[Times@@(1-x^(3*Range[29]))/(1-x)^29,{x,0,20}],x] (* _Harvey P. Dale_, May 30 2018 *)

%o (PARI) x='x+O('x^50); A = prod(k=1, 29, (1-x^(3*k)))/(1-x)^29; Vec(A) \\ _G. C. Greubel_, Jul 07 2018

%o (Magma) m:=50; R<x>:=PowerSeriesRing(Integers(), m); F:=(&*[(1-x^(3*k)): k in [1..29]])/(1-x)^29; Coefficients(R!(F)); // _G. C. Greubel_, Jul 07 2018

%K nonn

%O 0,2

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

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Last modified September 4 08:17 EDT 2024. Contains 375679 sequences. (Running on oeis4.)