A110536 a(n) = Sum_{k=1..n} ceiling(k^n/n^k).

1, 2, 3, 5, 8, 15, 27, 57, 142, 381, 1110, 3484, 11678, 41566, 156319, 618829, 2570651, 11174315, 50704149, 239641306, 1177394450, 6002778135, 31706648191, 173250478087, 977993291266, 5696294311736, 34193455142322, 211311452026745

Offset

1,2

Comments

Row sums of number triangle A110535.

Links

G. C. Greubel, Table of n, a(n) for n = 1..635

Formula

a(n) = Sum_{k=1..n} ceiling(k^n/n^k).

Mathematica

Table[Sum[Ceiling[k^n/n^k], {k, n}], {n, 30}] (* Harvey P. Dale, Mar 01 2015 *)

Prog

(PARI) for(n=1, 25, print1(sum(k=1, n, ceil(k^n/n^k)), ", ")) \\ G. C. Greubel, Aug 30 2017

Crossrefs

Sequence in context: A192677 A307909 A006544 * A049861 A130476 A096592

Adjacent sequences: A110533 A110534 A110535 * A110537 A110538 A110539

Keyword

easy,nonn

Author

Paul Barry, Jul 25 2005

Status

approved