A121050 Partial sums of floor(n!/e^n).

0, 0, 0, 0, 0, 1, 5, 18, 62, 226, 892, 3835, 17910, 90401, 490421, 2844970, 17570207, 115078228, 796630963, 5811215750, 44551231383, 358087648032, 3010990488143, 26433752431402, 241852566790848, 2302304545944415, 22768248457537798, 233580248716343376

Offset

1,7

Links

Table of n, a(n) for n=1..28.

Formula

a(n) = Sum_{i=1..n} floor(i!/exp(i)).

Mathematica

Accumulate[Table[Floor[n!/Exp[n]], {n, 30}]] (* Harvey P. Dale, Aug 25 2016 *)

Crossrefs

Cf. A000142, A055775.

Sequence in context: A113301 A111567 A372420 * A029869 A373123 A033453

Adjacent sequences: A121047 A121048 A121049 * A121051 A121052 A121053

Keyword

easy,nonn

Author

Jonathan Vos Post, Aug 08 2006

Extensions

Corrected by and incorrect examples removed by Harvey P. Dale, Aug 25 2016

Status

approved