OFFSET
1,2
COMMENTS
Gamma(x) has a minimum at x = 1.46163214496836234126265954232572132846819620400644... (A030169).
LINKS
Xavier Gourdon and Pascal Sebah, Some Constants from Number theory from their "Numbers, constants and computation" web site.
MATHEMATICA
EngelExp[ A_, n_ ] := Join[ Array[ 1 &, Floor[ A ]], First@Transpose @ NestList[ {Ceiling[ 1/Expand[ #[[ 1 ]] #[[ 2 ]] - 1 ]], Expand[ #[[ 1 ]] #[[ 2 ]] - 1]} &, {Ceiling[ 1/(A - Floor[A]) ], A - Floor[A]}, n - 1 ]]; EngelExp[ FindMinimum[ Gamma[x], {x, 1, 4}, WorkingPrecision -> 2^9][[2, 1, 2]], 32] (* Robert G. Wilson v, Jul 28 2004 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Gerald McGarvey, Jul 25 2004
EXTENSIONS
Edited and extended by Robert G. Wilson v, Jul 28 2004
STATUS
approved