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 A292810 #10 Oct 06 2017 15:26:31 %S A292810 1,1,4,28,264,2992,38496,544464,8298080,134500672,2297361024, %T A292810 41077857152,765073498368,14786330691072,295652808207360, %U A292810 6101427222041856,129707991377671680,2835915576534111232,63683889838128080896,1467174199736163264512,34643692576697214742528,837694231078769706999808,20727017363846896783998976 %N A292810 G.f. A(x) satisfies: A( 2*x - A(x) - x^2 ) = 2*x - A(x). %H A292810 Paul D. Hanna, <a href="/A292810/b292810.txt">Table of n, a(n) for n = 1..200</a> %F A292810 G.f.: x + G(x)^2 where x = G(x) - G(x)^2 - G(G(x))^2, and G(x) is the g.f. of A177409. %e A292810 G.f.: A(x) = x + x^2 + 4*x^3 + 28*x^4 + 264*x^5 + 2992*x^6 + 38496*x^7 + 544464*x^8 + 8298080*x^9 + 134500672*x^10 + 2297361024*x^11 + 41077857152*x^12 + 765073498368*x^13 + 14786330691072*x^14 + 295652808207360*x^15 +... %e A292810 such that A( 2*x - A(x) - x^2 ) = 2*x - A(x). %o A292810 (PARI) {a(n) = my(A=x, V=[1, 1]); for(i=1, n, V = concat(V, 0); A=x*Ser(V); V[#V] = Vec( subst(G=A, x, 2*x - x^2 - A) )[#V]/(-1) ); V[n]} %o A292810 for(n=1, 30, print1(a(n), ", ")) %Y A292810 Cf. A177409. %K A292810 nonn %O A292810 1,3 %A A292810 _Paul D. Hanna_, Sep 24 2017