OFFSET
2,1
LINKS
Amiram Eldar, Table of n, a(n) for n = 2..57
David Peter Hadrian Ulgenes, Series and Product Representations of Gamma and Pseudogamma Functions, arXiv:2301.09699 [math.NT], 2023.
FORMULA
-1 + Sum_{n>=2} a(n)/A360092(n) = gamma (A001620) (Ulgenes, 2023, Corollary 2). - Amiram Eldar, Jan 25 2023
MATHEMATICA
Array[Numerator[(# - 2)!*Sum[(-1)^(k + 1)/((# - k)!*k^k), {k, #}]] &, 13, 2] (* Michael De Vlieger, Jan 25 2023 *)
PROG
(PARI) a(n) = numerator((n-2)!*sum(k=1, n, (-1)^(k+1)/((n-k)!*k^k)));
CROSSREFS
KEYWORD
nonn,frac
AUTHOR
Michel Marcus, Jan 25 2023
STATUS
approved