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.

A141365 Expansion of (1-5x^2-7x^3-2x^4+x^6)/((1-x)(1-x^3)^2).

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%I A141365 #7 Jun 13 2015 00:52:38
%S A141365 1,1,-4,-9,-11,-21,-31,-35,-50,-65,-71,-91,-111,-119,-144,-169,-179,
%T A141365 -209,-239,-251,-286,-321,-335,-375,-415,-431,-476,-521,-539,-589,
%U A141365 -639,-659,-714,-769,-791,-851,-911,-935,-1000,-1065,-1091,-1161,-1231
%N A141365 Expansion of (1-5x^2-7x^3-2x^4+x^6)/((1-x)(1-x^3)^2).
%C A141365 Hankel transform of A141364.
%H A141365 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,2,-2,0,-1,1)
%F A141365 G.f.: (1-5x^2-7x^3-2x^4+x^6)/(1-x-2x^3+2x^4+x^6-x^7)
%F A141365 a(0)=1, a(1)=1, a(2)=-4, a(3)=-9, a(4)=-11, a(5)=-21, a(6)=-31, a(n)=a(n-1)+ 2*a(n-3)- 2*a(n-4)-a(n-6)+a (n-7). - _Harvey P. Dale_, Oct 21 2013
%t A141365 CoefficientList[Series[(1-5x^2-7x^3-2x^4+x^6)/((1-x)(1-x^3)^2),{x,0,60}],x] (* or *) LinearRecurrence[{1,0,2,-2,0,-1,1},{1,1,-4,-9,-11,-21,-31},60] (* _Harvey P. Dale_, Oct 21 2013 *)
%Y A141365 Cf. A141352.
%K A141365 easy,sign
%O A141365 0,3
%A A141365 _Paul Barry_, Jun 27 2008