# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a241998 Showing 1-1 of 1 %I A241998 #9 Aug 11 2014 06:35:25 %S A241998 1,1,5,95,2865,115995,5795546,341588686,23099712021,1759081180848, %T A241998 148827977847297,13846375810530924,1405013226803228823, %U A241998 154447381376266478808,18287299416725063983915,2320814090889444342775833,314320342934125785370051303 %N A241998 G.f. satisfies: A(x)^2 = x + A(x*A(x)^6). %H A241998 Vaclav Kotesovec, Table of n, a(n) for n = 0..250 %F A241998 a(n) ~ c * 6^n * n^(n - 1/6 + 1/4*log(2)) / (exp(n) * log(2)^n), where c = 0.1671159774327212... %o A241998 (PARI) {a(n)=local(A=[1, 1], Ax); for(i=1, n, A=concat(A, 0); Ax=Ser(A); %o A241998 A[#A]=Vec(1+subst(Ax, x, x*Ax^6) - Ax^2)[#A]); A[n+1]} %o A241998 for(n=0, 30, print1(a(n), ", ")) %Y A241998 Cf. A240996 (q=2), A240999 (q=3), A241996 (q=4), A241997 (q=5), A241999 (q=7). %K A241998 nonn %O A241998 0,3 %A A241998 _Vaclav Kotesovec_, Aug 11 2014 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE