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A110536
a(n) = Sum_{k=1..n} ceiling(k^n/n^k).
2
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
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
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Jul 25 2005
STATUS
approved