OFFSET
0,4
COMMENTS
Appears to grow factorially (superexponentially).
Conjecture: limit_{n->oo} log(a(n)) / log(n!) < 1. - Vaclav Kotesovec, Nov 17 2023
EXAMPLE
a(5) = 173 since the local minimum in [0,oo) of the 10th derivative of Gamma(x) is 173.195...
MATHEMATICA
Join[{0}, Floor[Table[d = Simplify[D[Gamma[x], {x, 2 n}]]; d /. FindRoot[D[d, x] == 0, {x, n/2}, WorkingPrecision -> 50], {n, 1, 10}]]] (* Vaclav Kotesovec, Nov 17 2023 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Jodi Spitz, May 04 2023
EXTENSIONS
a(7)-a(25) from Vaclav Kotesovec, Nov 18 2023
STATUS
approved