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 A228927 #7 May 26 2025 23:50:43 %S A228927 1,1,-7,70,-798,9737,-124124,1631041,-21911758,299371219,-4144898772, %T A228927 58007463920,-819038646307,11650826921489,-166786290656152, %U A228927 2400680788969898,-34719393978035312,504223005531434252,-7349846348644213981,107489242662154350550 %N A228927 G.f. A(x) satisfies: A(x)^16 = A(x^2)^8 + 16*x. %e A228927 G.f.: A(x) = 1 + x - 7*x^2 + 70*x^3 - 798*x^4 + 9737*x^5 - 124124*x^6 +... %e A228927 where %e A228927 A(x)^16 = 1 + 16*x + 8*x^2 - 28*x^4 + 224*x^6 - 2198*x^8 + 23856*x^10 -+... %e A228927 A(x^2)^8 = 1 + 8*x^2 - 28*x^4 + 224*x^6 - 2198*x^8 + 23856*x^10 -+... %o A228927 (PARI) {a(n)=local(A=1+x); for(i=1, #binary(n), A=(subst(A, x, x^2)^8+16*x+x*O(x^n))^(1/16)); polcoeff(A, n, x)} %o A228927 for(n=0, 20, print1(a(n), ", ")) %Y A228927 Cf. A228928. %Y A228927 Cf. variants: A107086, A223026. %K A228927 sign %O A228927 0,3 %A A228927 _Paul D. Hanna_, Sep 08 2013