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%I #8 Mar 11 2018 20:25:46
%S 1,1,7,135,5521,418711,52505552,10034306147,2768027299909,
%T 1055389479690007,536926409666609040,354534107755578318094,
%U 297045945287473702734584,309828094123717787726306772,395818917891236220205710173248,610789854576714911900411852031035,1124694852500570258500087576570621947,2445082865412664444306698277861664761891
%N a(n) = A292394(n)/n^2 for n>=1.
%C It is conjectured that this sequence consists entirely of integers.
%C The g.f. G(x) of A292394 satisfies: [x^n] G( x/G(x)^(n^2) ) = 0 for n>1.
%H Paul D. Hanna, <a href="/A292395/b292395.txt">Table of n, a(n) for n = 1..200</a>
%o (PARI) {a(n) = my(A=[1, 1]); for(i=2, n, A=concat(A, 0); A[#A] = -Vec(subst(Ser(A), x, x/Ser(A)^((#A-1)^2)))[#A]); A[n+1]/n^2}
%o for(n=1, 30, print1(a(n), ", "))
%Y Cf. A292394.
%K nonn
%O 1,3
%A _Paul D. Hanna_, Sep 15 2017
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