The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A198413 G.f. satisfies: A(x) = exp( Sum_{n>=1} A(x)^n * A(x^n) * x^n/n ). 1
 1, 1, 3, 11, 46, 205, 962, 4668, 23268, 118374, 612305, 3210348, 17023682, 91140496, 491968036, 2674572509, 14631157562, 80480706331, 444865534251, 2469826058736, 13766223517639, 77003660186990, 432131032213098, 2432230966070833, 13726899289265314 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS EXAMPLE G.f.: A(x) = 1 + x + 3*x^2 + 11*x^3 + 46*x^4 + 205*x^5 + 962*x^6 +... where log(A(x)) = A(x)*A(x)*x + A(x)^2*A(x^2)*x^2/2 + A(x)^3*A(x^3)*x^3/3 +... more explicitly, log(A(x)) = x + 5*x^2/2 + 25*x^3/3 + 133*x^4/4 + 716*x^5/5 + 3947*x^6/6 +... PROG (PARI) {a(n)=local(A=1+x); for(i=1, n, A=exp(sum(m=1, n, subst(A, x, x^m+x*O(x^n))*(x*A+x*O(x^n))^m/m))); polcoeff(A, n)} CROSSREFS Cf. A198520. Sequence in context: A151138 A151139 A301412 * A151140 A271959 A151141 Adjacent sequences:  A198410 A198411 A198412 * A198414 A198415 A198416 KEYWORD nonn AUTHOR Paul D. Hanna, Oct 26 2011 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 11 21:35 EDT 2021. Contains 343808 sequences. (Running on oeis4.)