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A117235 Decimal expansion of the supremum norm of a best cubic polynomial fit to 1/Gamma(z) in the complex unit disk. 10

%I #21 Jan 02 2023 03:25:51

%S 2,1,4,3,3,5,2,3,4,5,9,0,4,5,9,6,3,9,4,6,1,5,2,6,4,0,0,1,8,4,7,4,9,3,

%T 9,6,1,1,3,4,0,7,2,8,7,7,8,9,5,1,6,7,0,8,0,7,3,9,3,4,9,8,5,9,7,0,9,8,

%U 7,6,7,6,0,7,4,0,5,4,5,9,8,1,6,9,4,7,9,8,8,4,7,8,8,8,3,0,5,3,3,0

%N Decimal expansion of the supremum norm of a best cubic polynomial fit to 1/Gamma(z) in the complex unit disk.

%C Decimal expansion of solution to problem #5 in the Trefethen challenge.

%H Amiram Eldar, <a href="/A117235/b117235.txt">Table of n, a(n) for n = 0..10001</a> (from Dirk Laurie's solution)

%H Folkmar Bornemann, <a href="http://www-m3.ma.tum.de/foswiki/pub/M3/Allgemeines/FolkmarBornemannPublications/short.pdf">Short remarks on the solution of the SIAM 100-digit challenge</a>, 2002.

%H Folkmar Bornemann, Dirk Laurie, Stan Wagon, and Jörg Waldvogel, <a href="https://www-m3.ma.tum.de/m3old/bornemann/challengebook/">The SIAM 100-Digit Challenge, A Study in High-Accuracy Numerical Computing</a>, SIAM, Philadelphia, 2004.

%H Dirk Laurie, <a href="https://www-m3.ma.tum.de/m3old/bornemann/challengebook/Chapter5/">A Complex Optimization</a>, a web page for the book The SIAM 100-Digit Challenge.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Hundred-DollarHundred-DigitChallengeProblems.html">Hundred-Dollar, Hundred-Digit Challenge Problems</a>.

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Hundred-dollar,_Hundred-digit_Challenge_problems">Hundred-dollar, Hundred-digit Challenge problems</a>.

%e 0.2143352345904596394...

%Y Cf. A117231, A117232, A117233, A117234, A117236, A117237, A117238, A117239, A117240.

%K nonn,cons

%O 0,1

%A _Eric W. Weisstein_, Mar 05 2006

%E a(99) corrected by _Amiram Eldar_, Jan 02 2023

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Last modified July 13 01:42 EDT 2024. Contains 374259 sequences. (Running on oeis4.)