cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A175472 Decimal expansion of the absolute value of the abscissa of the local maximum of the Gamma function in the interval [ -1,0].

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%I A175472 #19 Jul 22 2025 07:56:22
%S A175472 5,0,4,0,8,3,0,0,8,2,6,4,4,5,5,4,0,9,2,5,8,2,6,9,3,0,4,5,3,3,3,0,2,4,
%T A175472 9,8,9,5,5,3,8,5,1,8,2,3,6,8,5,7,9,8,4,5,1,7,7,2,6,9,5,8,4,5,0,9,5,9,
%U A175472 3,8,3,3,7,1,3,4,7,8,8,6,4,6,2,5,6,4,4,7,9,3,8,1,5,1,3,6,5,2,5,4,6,8,0,1,9
%N A175472 Decimal expansion of the absolute value of the abscissa of the local maximum of the Gamma function in the interval [ -1,0].
%C A175472 Also the location of the zero of the digamma function in the same interval.
%D A175472 Jerome Spanier and Keith B. Oldham, "Atlas of Functions", Hemisphere Publishing Corp., 1987, chapter 44, page 427.
%H A175472 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/GammaFunction.html">Gamma Function</a>.
%H A175472 Wikipedia, <a href="http://en.wikipedia.org/wiki/Particular_values_of_the_Gamma_function">Particular values of the Gamma function</a>.
%e A175472 Gamma(-0.5040830082644554092582693045...) = -3.5446436111550050891219639933..
%t A175472 x /. FindRoot[ PolyGamma[0, x] == 0, {x, -1/2}, WorkingPrecision -> 105] // Abs // RealDigits // First  (* _Jean-François Alcover_, Jan 21 2013 *)
%o A175472 (PARI) solve(x=.5,.6,psi(-x)) \\ _Charles R Greathouse IV_, Jul 19 2013
%Y A175472 Cf. A030169, A030171, A175473, A175474.
%K A175472 cons,nonn
%O A175472 0,1
%A A175472 _R. J. Mathar_, May 25 2010