This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A179491 L.g.f.: G(x) = exp( Sum_{n>=1} a(n)*x^n/n ) where G(x) = exp( Sum_{n>=1} G(a(n)*x^n)*x^n/n ). 1
 1, 3, 7, 23, 51, 201, 442, 1663, 4156, 15083, 35564, 139961, 329694, 1244834, 3162552, 11494207, 28340038, 108476634, 266695553, 992977283, 2544862201, 9319498334, 23550935216, 87424092169, 222620040051, 819109845024 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS EXAMPLE L.g.f.: Log(G(x)) = x + 3*x^2/2 + 7*x^3/3 + 23*x^4/4 + 51*x^5/5 + 201*x^6/6 + 442*x^7/7 + 1663*x^8/8 + 4156*x^9/9 +...+ a(n)*x^n/n +... G(x) = 1 + x + 2*x^2 + 4*x^3 + 10*x^4 + 22*x^5 + 63*x^6 + 148*x^7 + 429*x^8 + 1093*x^9 + 3233*x^10 + 8235*x^11 +...+ A179490(n)*x^n +... Log(G(x)) = G(x)*x + G(3*x^2)*x^2/2 + G(7*x^3)*x^3/3 + G(23*x^4)*x^4/4 + G(51*x^5)*x^5/5 + G(201*x^6)*x^6/6 +...+ G(a(n)*x^n)*x^n/n +... PROG (PARI) {a(n)=local(A=[1, 1], L=[1]); for(i=1, n+1, A=Vec(exp(sum(n=1, #A-1, subst(Ser(A), x, L[n]*x^n)*x^n/n)+O(x^#A))); A=concat(A, 0); L=Vec(deriv(log(Ser(A))))); L[n+1]} CROSSREFS Cf. A179490. Sequence in context: A112052 A205491 A203253 * A219167 A293466 A231722 Adjacent sequences:  A179488 A179489 A179490 * A179492 A179493 A179494 KEYWORD nonn AUTHOR Paul D. Hanna, Jul 16 2010 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 March 21 12:12 EDT 2019. Contains 321369 sequences. (Running on oeis4.)