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.

A196346 A quintisection of A196344.

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%I A196346 #8 Mar 30 2012 18:37:31
%S A196346 1,1,-2,1,-1,0,0,1,-2,-1,-2,1,0,2,-1,0,2,0,-1,1,-1,-1,2,-1,2,-1,2,-1,
%T A196346 2,-1,2,0,-2,0,0,-2,2,-2,-1,0,-1,2,-1,-2,1,-2,1,2,-2,0,2,2,1,0,-2,-1,
%U A196346 -2,-2,0,2,2,1,1,1,2,1,-1,2,1,-1,1,0,2,2,-1,2,-1,1,-1,-2,-1,1,-1,-1,-1,1,2,0,-2,0,1,2,1,2,-2
%N A196346 A quintisection of A196344.
%H A196346 Paul D. Hanna, <a href="/A196346/b196346.txt">Table of n, a(n) for n = 0..200</a>
%e A196346 G.f.: A(x) = 1 + x - 2*x^2 + x^3 - x^4 + x^7 - 2*x^8 - x^9 - 2*x^10 + x^11 + 2*x^13 - x^14 + 2*x^16 - x^18 + x^19 - x^20 +...
%e A196346 where the following series consists entirely of integer coefficients:
%e A196346 (A(x^5) + 5*x)^(1/5) = 1 + x - 2*x^2 + 6*x^3 - 21*x^4 + 80*x^5 - 320*x^6 + 1326*x^7 - 5637*x^8 + 24434*x^9 - 107542*x^10 +...+ A196345(n)*x^n +...
%o A196346 (PARI) {a(n)=local(A=1+5*x); if(n==0, 1, for(j=1, 5*n, for(k=-2, 2, t=polcoeff((A+k*x^j+x*O(x^j))^(1/5), j);
%o A196346 if(denominator(t)==1, A=A+k*x^j; break))); polcoeff(A+x*O(x^(5*n)), 5*n))}
%Y A196346 Cf. A196344, A196345.
%K A196346 sign
%O A196346 0,3
%A A196346 _Paul D. Hanna_, Oct 01 2011