A242008 G.f. satisfies: A(x) = 1 - x + A(x)^3 - A(x*A(x)^4).

1, 1, 1, 11, 156, 3291, 88226, 2875398, 110100183, 4841244682, 240373761685, 13302190764348, 811959804656631, 54199237928855551, 3927985314859401651, 307182890826521602838, 25785326923948811144846, 2312543296773573900444136, 220690745096282461500094088

Offset

0,4

Links

Vaclav Kotesovec, Table of n, a(n) for n = 0..340

Formula

a(n) ~ c * 4^n * n^(n - 3/4 - 3/8*log(2)) / (exp(n) * (log(2))^n), where c = 0.137369844026491686111562...

Prog

(PARI) {a(n)=local(A=1+x); for(i=1, n, A = 2*A - (1-x + A^3 - subst(A, x, x*A^4 +x*O(x^n))) ); polcoeff(A, n)}
for(n=0, 20, print1(a(n), ", "))

Crossrefs

Cf. A242007 (q=3), A242009 (q=5).

Sequence in context: A191534 A243947 A156933 * A158512 A348151 A324430

Adjacent sequences: A242005 A242006 A242007 * A242009 A242010 A242011

Keyword

nonn

Author

Vaclav Kotesovec, Aug 11 2014

Extensions

Name corrected by Vaclav Kotesovec and Paul D. Hanna, Aug 15 2014

Status

approved