A193100 E.g.f. A(x) satisfies: A’(x) = x + A(A(x)), where A(x) = Sum_{n>=0} a(n)*x^(3*n+2)/(3*n+2)!.

1, 3, 63, 6804, 1990170, 1145276496, 1172421884088, 1981846981092069, 5166650461467914874, 19710026486212156729362, 105613632141369240315500892, 768455476842781911036557334267, 7380326961188107570497477933701847

Offset: 0

Author

Paul D. Hanna, Jul 15 2011

Keywords

• nonn

Examples

			E.g.f.: A(x) = x^2/2! + 3*x^5/5! + 63*x^8/8! + 6804*x^11/11! + 1990170*x^14/14! + 1145276496*x^17/17! + 1172421884088*x^20/20! +...
where A'(x) = x + 3*x^4/4! + 63*x^7/7! + 6804*x^10/10! +...
and A(A(x)) = 3*x^4/4! + 63*x^7/7! + 6804*x^10/10! + 1990170*x^13/13! +...
		

Crossrefs

Cf. A001028, A179420.

Programs

PARI

{a(n)=local(A=x^2/2);for(i=1,n,A=intformal(x+subst(A,x,A+O(x^(3*n+3)))));(3*n+2)!*polcoeff(A,3*n+2)}