A221100 E.g.f. satisfies: A(x) = 1 + x*Sum_{n>=0} log(A(n*x))^n / n!.

1, 1, 2, 15, 248, 8440, 513144, 52356122, 8677146176, 2287135119744, 948641529992880, 614727594325073592, 618434779929242165856, 960690586903797786948288, 2293100087767812293312717088, 8373182505242530234213019810880, 46591358758492418174191908438641664

Offset

0,3

Links

Table of n, a(n) for n=0..16.

Example

E.g.f.: A(x) = 1 + x + 2*x^2/2! + 15*x^3/3! + 248*x^4/4! + 8440*x^5/5! +...
where
A(x) = 1 + x + x*log(A(x)) + x*log(A(2*x))^2/2! + x*log(A(3*x))^3/3! + x*log(A(4*x))^4/4! + x*log(A(5*x))^5/5! +...

Prog

(PARI) {a(n)=local(A=1+x); for(i=1, n, A=1+x*sum(m=0, n, log( subst(A, x, m*x+x*O(x^n)) )^m/m!)); n!*polcoeff(A, n)}
for(n=0, 20, print1(a(n), ", "))

Crossrefs

Cf. A221101.

Sequence in context: A180610 A156750 A292798 * A203310 A102555 A264907

Adjacent sequences: A221097 A221098 A221099 * A221101 A221102 A221103

Keyword

nonn

Author

Paul D. Hanna, Jan 01 2013

Status

approved