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 A179422 E.g.f.: A(x) = G(G(x)) = x*G'(x) where G(x) is the g.f. of A179420. 3
 1, 4, 36, 528, 11000, 301680, 10379376, 433371008, 21434318496, 1232928216000, 81297809313600, 6074187611551488, 509351655073262976, 47554889211476564736, 4909859201019880800000, 557309205260654645145600 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Paul D. Hanna, Table of n, a(n) for n = 1..150 FORMULA a(n) = n*A179420(n) = n^2*A179421(n-1). E.g.f. satisfies: x*A'(x)/A(x) = G(A(x))/G(x) where G(x) is the g.f. of A179420. EXAMPLE E.g.f.: A(x) = x + 4*x^2/2! + 36*x^3/3! + 528*x^4/4! + 11000*x^5/5! +... Let G(x) be the g.f. of A179420, then . G(x) = x + 2*x^2/2! + 12*x^3/3! + 132*x^4/4! + 2200*x^5/5! +... . G(G(x)) = x + 4*x^2/2! + 36*x^3/3! + 528*x^4/4! + 11000*x^5/5! + ... PROG (PARI) {a(n)=local(A=x+x^2+sum(m=3, n-1, a(m)*x^m/(m*m!))+x*O(x^n)); if(n<3, n!*polcoeff(A, n), n*n!*polcoeff(subst(A, x, A), n)/(n-2))} CROSSREFS Cf. A179420, A179421. Sequence in context: A024253 A052746 A145084 * A098629 A308333 A349650 Adjacent sequences: A179419 A179420 A179421 * A179423 A179424 A179425 KEYWORD nonn AUTHOR Paul D. Hanna, Jul 28 2010 STATUS approved

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Last modified May 24 22:09 EDT 2024. Contains 372782 sequences. (Running on oeis4.)