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.

A107090 G.f. A(x) satisfies: A(x)^3 = A(x^3) + 9*x.

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%I A107090 #3 Mar 30 2012 18:36:46
%S A107090 1,3,-9,46,-276,1827,-12838,93885,-706878,5440856,-42608139,338345586,
%T A107090 -2717685006,22039352340,-180191062062,1483568585389,-12289222187157,
%U A107090 102343255814052,-856335797389803,7195400130323322,-60687964204960104,513600833339124915
%N A107090 G.f. A(x) satisfies: A(x)^3 = A(x^3) + 9*x.
%C A107090 Self-convolution cube of A107089. Self-convolution cube yields A107091.
%e A107090 A(x)^3 = 1 + 9*x + 3*x^3 - 9*x^6 + 46*x^9 - 276*x^12 + 1827*x^15 -+...
%e A107090 A(x^3) = 1 + 3*x^3 - 9*x^6 + 46*x^9 - 276*x^12 + 1827*x^15 -+...
%o A107090 (PARI) {a(n)=local(A=1+x);for(i=1,n,A=(subst(A,x,x^3)+9*x+x*O(x^n))^(1/3)); polcoeff(A,n,x)}
%Y A107090 Cf. A107089, A107091.
%K A107090 sign
%O A107090 0,2
%A A107090 _Paul D. Hanna_, May 11 2005