|
| |
|
|
A030169
|
|
Decimal expansion of real number x such that y = Gamma(x) is a minimum.
|
|
5
| |
|
|
1, 4, 6, 1, 6, 3, 2, 1, 4, 4, 9, 6, 8, 3, 6, 2, 3, 4, 1, 2, 6, 2, 6, 5, 9, 5, 4, 2, 3, 2, 5, 7, 2, 1, 3, 2, 8, 4, 6, 8, 1, 9, 6, 2, 0, 4, 0, 0, 6, 4, 4, 6, 3, 5, 1, 2, 9, 5, 9, 8, 8, 4, 0, 8, 5, 9, 8, 7, 8, 6, 4, 4, 0, 3, 5, 3, 8, 0, 1, 8, 1, 0, 2, 4, 3, 0, 7, 4, 9, 9, 2, 7, 3, 3, 7, 2, 5, 5, 9
(list; constant; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,2
|
|
|
COMMENTS
| "The gamma function has a minimum at this point. 1.461632144968362341262659542325721328468196204006446351295988409 is the solution of the equation : Psi(x)*GAMMA(x)=0. The point y of that function is 0.8856031944108887002788159005825887332079515336699034488712001659" [S. Plouffe]
|
|
|
LINKS
| S. Plouffe, editor, Miscellaneous Mathematical Constants Project Gutenberg, 1996.
S. Plouffe, Minimal y of GAMMA(x)
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
|
|
|
EXAMPLE
| x = 1.461632144968362..., y = 0.885603194410888...
|
|
|
MATHEMATICA
| First@ RealDigits[ FindMinimum[ Gamma[x], {x, 1.4}, WorkingPrecision -> 2^7][[2, 1, 2]]] [From Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 03 2010]
|
|
|
CROSSREFS
| Cf. A030171 for value of y.
Sequence in context: A106144 A154478 A051261 * A203999 A199371 A156789
Adjacent sequences: A030166 A030167 A030168 * A030170 A030171 A030172
|
|
|
KEYWORD
| nonn,cons
|
|
|
AUTHOR
| Eric Weisstein (eric(AT)weisstein.com)
|
|
|
EXTENSIONS
| Additional comments from Francisco Salinas (franciscodesalinas(AT)hotmail.com), Dec 29 2001
Broken URL to Project Gutenberg replaced by Georg Fischer (Georg.Fischer(AT)T-Online.de), Jan 03 2009
|
| |
|
|
