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!)
 A199104 G.f. satisfies: A(x) = exp( Sum(n>=1} A(x^n)/(1-x)^n * x^n/n ). 1
 1, 1, 3, 9, 28, 88, 284, 931, 3109, 10532, 36162, 125546, 440201, 1556519, 5544715, 19879791, 71685522, 259809731, 945913555, 3457947627, 12687782600, 46709518473, 172484216742, 638712762962, 2371241532557, 8824154454401, 32909438791706, 122984173008460 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS EXAMPLE G.f.: A(x) = 1 + x + 3*x^2 + 9*x^3 + 28*x^4 + 88*x^5 + 284*x^6 + 931*x^7 +... where log(A(x)) = A(x)/(1-x)*x + A(x^2)/(1-x)^2*x^2/2 + A(x^3)/(1-x)^3*x^3/3 +... PROG (PARI) {a(n)=local(A=1+x); for(i=1, n, A=exp(sum(m=1, n, (1-x)^-m*x^m/m*subst(A, x, x^m+x*O(x^n))))); polcoeff(A, n)} CROSSREFS Cf. A199103. Sequence in context: A195675 A170953 A333504 * A049220 A094790 A007822 Adjacent sequences:  A199101 A199102 A199103 * A199105 A199106 A199107 KEYWORD nonn AUTHOR Paul D. Hanna, Nov 03 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 July 25 18:20 EDT 2021. Contains 346291 sequences. (Running on oeis4.)