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.

A107089 G.f. A(x) satisfies: A(x)^9 = A(x^3)^3 + 9*x.

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%I A107089 #5 Mar 12 2015 19:19:00
%S A107089 1,1,-4,23,-150,1054,-7761,58998,-459085,3636389,-29209558,237295537,
%T A107089 -1945823646,16081045446,-133787515943,1119454523221,-9413778489629,
%U A107089 79510460561765,-674169212593940,5736078315701995,-48956250060321142,419002149097227663
%N A107089 G.f. A(x) satisfies: A(x)^9 = A(x^3)^3 + 9*x.
%C A107089 Self-convolution cube is A107090. Self-convolution 9th power is A107091.
%e A107089 A(x)^9 = 1 + 9*x + 3*x^3 - 9*x^6 + 46*x^9 - 276*x^12 + 1827*x^15 -+...
%e A107089 A(x^3)^3 = 1 + 3*x^3 - 9*x^6 + 46*x^9 - 276*x^12 + 1827*x^15 -+...
%o A107089 (PARI) {a(n)=local(A=1+x);for(i=1,n,A=(subst(A^3,x,x^3)+9*x+x*O(x^n))^(1/9)); polcoeff(A^1,n,x)}
%Y A107089 Cf. A107090, A107091.
%K A107089 sign
%O A107089 0,3
%A A107089 _Paul D. Hanna_, May 11 2005