|
| |
|
|
A138910
|
|
Inverse binomial transform of A138909.
|
|
1
| |
|
|
1, 1, 3, 20, 129, 1164, 12265, 151458, 2136337, 33901640, 597761361, 11593851510, 245310524041, 5622982528188, 138803996674057, 3671135646515834, 103568483199034785, 3104443346427521808, 98528857134710517793
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,3
|
|
|
FORMULA
| O.g.f. satisfies: [x^n] A( x/(1+(n-1)*x) )/(1+(n-1)*x) = n! for n>=0.
E.g.f. satisfies: [x^n] A(x)*exp(-(n-1)*x) = 1 for n>=0.
|
|
|
PROG
| (PARI) {a(n)=local(A=[1]); for(k=1, n, A=concat(A, 0); A[k+1]=k!-polcoeff(subst(Ser(A), x, x/(1+(k-1)*x+x*O(x^k)))/(1+(k-1)*x), k)); A[n+1]}
|
|
|
CROSSREFS
| Cf. A138909.
Sequence in context: A037795 A187442 A167590 * A000276 A056306 A056298
Adjacent sequences: A138907 A138908 A138909 * A138911 A138912 A138913
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Apr 05 2008
|
| |
|
|
