OFFSET
0,3
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..315
FORMULA
log(a(n)) ~ n*(2*log(n) - log(log(n)) - 2 - log(2) + log(2*log(n))/(2*log(n)) + 1/(8*log(n)^2)).
MATHEMATICA
Table[Sum[k! * (n-k)^k, {k, 0, n}], {n, 1, 20}]
PROG
(PARI) a(n) = sum(k=0, n, k!*(n-k)^k); \\ Seiichi Manyama, Dec 31 2023
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Nov 01 2023
EXTENSIONS
a(0)=1 prepended by Seiichi Manyama, Dec 31 2023
STATUS
approved