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Search: id:A096188
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| A096188 |
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Engel expansion of real number x such that y = Gamma(x) is a minimum. |
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1
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| 1, 3, 3, 7, 13, 14, 14, 27, 27, 46, 99, 549, 913, 2637, 3830, 3929, 15500, 55253, 85854, 246166, 1052057, 2490138, 2521393, 16086534, 29730193, 38774343, 84328391, 317160458, 371478595, 600277187, 811735945, 849656112, 139143919171
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Gamma(x) has a minimum at x = 1.46163214496836234126265954232572132846819620400644... (A030169).
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LINKS
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Xavier Gourdon and Pascal Sebah, Some Constants from Number theory from their "Numbers, constants and computation" web site.
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MATHEMATICA
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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] (from Robert G. Wilson v Jul 28 2004)
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CROSSREFS
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Cf. A030169.
Sequence in context: A088859 A116880 A051123 this_sequence A065876 A095008 A134346
Adjacent sequences: A096185 A096186 A096187 this_sequence A096189 A096190 A096191
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KEYWORD
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nonn
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AUTHOR
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Gerald McGarvey (Gerald.McGarvey(AT)comcast.net), Jul 25 2004
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EXTENSIONS
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Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 28 2004
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