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A241997
G.f. satisfies: A(x)^2 = x + A(x*A(x)^5).
6
1, 1, 4, 62, 1530, 50849, 2089719, 101470053, 5660430287, 355970992756, 24894562936569, 1915987357589537, 160941576221849622, 14653841416756810665, 1437868649635368258342, 151284341822917527109841, 16993002921809143802858179, 2029842747191877113876104045
OFFSET
0,3
LINKS
FORMULA
a(n) ~ c * 5^n * n^(n - 1/5 + 1/5*log(2)) / (exp(n) * log(2)^n), where c = 0.2007164067804229...
PROG
(PARI) {a(n)=local(A=[1, 1], Ax); for(i=1, n, A=concat(A, 0); Ax=Ser(A);
A[#A]=Vec(1+subst(Ax, x, x*Ax^5) - Ax^2)[#A]); A[n+1]}
for(n=0, 30, print1(a(n), ", "))
CROSSREFS
Cf. A240996 (q=2), A240999 (q=3), A241996 (q=4), A241998 (q=6), A241999 (q=7).
Sequence in context: A222791 A166028 A359620 * A332694 A277392 A349068
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Aug 11 2014
STATUS
approved