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.
%I A107088 #5 Mar 14 2015 09:58:24 %S A107088 1,4,2,0,-1,0,2,0,-5,0,12,0,-30,0,82,0,-233,0,668,0,-1949,0,5802,0, %T A107088 -17503,0,53302,0,-163783,0,507418,0,-1582869,0,4966790,0,-15667573,0, %U A107088 49658264,0,-158059506,0,505013014,0,-1619144976,0,5207596574,0,-16797286048,0,54323516786,0,-176113786590,0 %N A107088 G.f. A(x) satisfies: A(x) = A(x^2)^(1/2) + 4*x. %C A107088 Self-convolution 4th power of A107086. Self-convolution of A107087. %e A107088 A(x) = 1 + 4*x + 2*x^2 - x^4 + 2*x^6 - 5*x^8 + 12*x^10 - 30*x^12 +... %e A107088 A(x^2)^(1/2) = 1 + 2*x^2 - x^4 + 2*x^6 - 5*x^8 + 12*x^10 - 30*x^12 +... %o A107088 (PARI) {a(n)=local(A=1+x);for(i=1,n,A=subst(A,x,x^2)^(1/2)+4*x+x*O(x^n)); polcoeff(A,n,x)} %Y A107088 Cf. A107086, A107087. %K A107088 sign %O A107088 0,2 %A A107088 _Paul D. Hanna_, May 11 2005