OFFSET
0,3
COMMENTS
For n>0, this is one-half of (one possible definition of) the number of partial maps from an n-set to itself.
MATHEMATICA
Table[Sum[n^Binomial[n, k], {k, 0, n}]/2, {n, 0, 9}] (* James C. McMahon, Nov 03 2024 *)
PROG
(Python)
from math import comb
def A376765(n): return sum(n**comb(n, k) for k in range(n+1))>>1 # Chai Wah Wu, Nov 03 2024
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Nov 02 2024
EXTENSIONS
a(9) from James C. McMahon, Nov 03 2024
STATUS
approved