A070227 a(n) = Sum_{k>=0} (k+n)!^n/((k+n)!*(k!^n)*exp(1)).

1, 1, 7, 2971, 326922081, 25571928251231076, 3104750712141723393459934903, 1106411839720559249283387766293758050197271, 1982711933502621451047063899803427489760228712955842831202561

Offset

0,3

Links

Table of n, a(n) for n=0..8.

Formula

a(n) = A090210(n,n). - Alois P. Heinz, Aug 01 2016

Prog

(PARI) \\ precision 1000 digits :
for(n=1, 9, print1(round(sum(k=0, 200, (k+n)!^n/((k+n)!*(k!^n)*exp(1)))), ", "))

Crossrefs

Cf. A090210.

Sequence in context: A297029 A242851 A264787 * A218141 A172956 A236368

Adjacent sequences: A070224 A070225 A070226 * A070228 A070229 A070230

Keyword

easy,nonn

Author

Benoit Cloitre, May 07 2002

Extensions

a(0)=1 prepended by Alois P. Heinz, Aug 01 2016

Status

approved