cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A162595 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^21) / (1-x)^7.

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%I A162595 #17 Sep 08 2022 08:45:46
%S A162595 1,7,28,83,203,434,839,1499,2513,3997,6082,8911,12635,17408,23381,
%T A162595 30696,39480,49839,61852,75565,90985,108075,126750,146874,168259,
%U A162595 190666,213808,237355,260941,284173,306641,327929,347627,365343,380715,393423
%N A162595 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^21) / (1-x)^7.
%C A162595 This is a row of the triangle in A162499. Only finitely many terms are nonzero.
%H A162595 G. C. Greubel, <a href="/A162595/b162595.txt">Table of n, a(n) for n = 0..77</a> (complete row)
%t A162595 CoefficientList[Series[Times@@(1-x^(3*Range[7]))/(1-x)^7,{x,0,40}],x] (* _Harvey P. Dale_, Oct 08 2015 *)
%o A162595 (PARI) x='x+O('x^50); A = prod(k=1, 7, (1-x^(3*k)))/(1-x)^7; Vec(A) \\ _G. C. Greubel_, Jul 07 2018
%o A162595 (Magma) m:=50; R<x>:=PowerSeriesRing(Integers(), m); F:=(&*[(1-x^(3*k)): k in [1..7]])/(1-x)^7; Coefficients(R!(F)); // _G. C. Greubel_, Jul 07 2018
%Y A162595 Cf. A162499.
%K A162595 nonn
%O A162595 0,2
%A A162595 _N. J. A. Sloane_, Dec 02 2009