OFFSET
1,3
COMMENTS
Conjecture: a(n)/A354479(n) tends to 1 as n tends to infinity. For comparison: A112290(n)/A112291(n) tends to 2 as n tends to infinity. - Vaclav Kotesovec, Jun 02 2022
EXAMPLE
1, 0, 7/6, 25/33, 3991/4200, 3923773/4192200, 4901627/5115600, 527165212865/545250747888, ...
MATHEMATICA
Table[Sum[1/StirlingS1[n, k], {k, 1, n}], {n, 1, 14}] // Numerator
PROG
(PARI) a(n) = numerator(sum(k=1, n, 1/stirling(n, k, 1))); \\ Michel Marcus, Jun 02 2022
CROSSREFS
KEYWORD
nonn,frac
AUTHOR
Ilya Gutkovskiy, Jun 02 2022
STATUS
approved