login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A135750 E.g.f. A(x) satisfies: A(1 - exp(-x)) = 1 + x*A(x). 8
1, 1, 3, 17, 150, 1869, 30937, 652147, 16971392, 532403448, 19756591654, 854013305595, 42459118750496, 2401987801594055, 153207626004501247, 10930853009024058261, 866325783375527683256, 75806831093269510084028 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
E.g.f. A(x) satisfies: A(x) = 1 - log(1-x)*A(-log(1-x)).
a(n) = Sum_{k=1..n} ( k*(-1)^(n-k)*stirling1(n,k)*a(k-1) ), n>0, a(0)=1. - Vladimir Kruchinin, Nov 28 2011
MATHEMATICA
Clear[a]; a[0]:= 1; a[n_]:= a[n] = Sum[k*(-1)^(n - k)*StirlingS1[n, k]*a[k - 1], {k, 1, n}]; Table[a[n], {n, 0, 25}] (* G. C. Greubel, Nov 05 2016 *)
PROG
(PARI) {a(n)=local(A=1+x); for(i=0, n, A=1-log(1-x+x*O(x^n))* (subst(A, x, -log(1-x+x*O(x^n))))); n!*polcoeff(A, n)}
(Maxima)
a(n):=if n=0 then 1 else sum(k*(-1)^(n-k)*stirling1(n, k)*a(k-1), k, 1, n); /* Vladimir Kruchinin, Nov 28 2011 */
CROSSREFS
Sequence in context: A213507 A305471 A368597 * A286345 A303063 A209305
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Nov 27 2007
STATUS
approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 10:55 EDT 2024. Contains 371241 sequences. (Running on oeis4.)