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A191807 G.f. satisfies: A(x) = Sum_{n>=0} x^n*A(x)^(n^5). 3

%I #4 Mar 30 2012 18:37:26

%S 1,1,2,35,839,39817,3186197,350165095,60551444146,14198688038403,

%T 4371837596384520,1810022601411867232,944544112975598084882,

%U 612407529661033348265928,494617108638856876638563800

%N G.f. satisfies: A(x) = Sum_{n>=0} x^n*A(x)^(n^5).

%e G.f.: A(x) = 1 + x + 2*x^2 + 35*x^3 + 839*x^4 + 39817*x^5 + 3186197*x^6 +...

%e where the g.f. satisfies:

%e A(x) = 1 + x*A(x) + x^2*A(x)^32 + x^3*A(x)^243 + x^4*A(x)^1024 + x^5*A(x)^3125 + x^6*A(x)^7776 +...+ x^n*A(x)^(n^5) +...

%o (PARI) {a(n)=local(A=1+x);for(i=1,n,A=1+sum(m=1,n,x^m*(A+x*O(x^n))^(m^5)));polcoeff(A,n)}

%Y Cf. A107595, A191805, A191806, A191808.

%K nonn

%O 0,3

%A _Paul D. Hanna_, Jun 16 2011

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Last modified July 19 05:59 EDT 2024. Contains 374389 sequences. (Running on oeis4.)