|
|
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;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
|
|
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.
|
|
MATHEMATICA
|
Range[0, 19]! CoefficientList[Series[(x + 1) / (Exp[x] - x Exp[2 x]), {x, 0, 19}], x] (* Vincenzo Librandi, Nov 07 2016 *)
|
|
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
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|