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.

A175474 Decimal expansion of the absolute value of the abscissa of the local maximum of the Gamma function in the interval [ -3,-2].

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%I A175474 #14 Feb 16 2025 08:33:12
%S A175474 2,6,1,0,7,2,0,8,6,8,4,4,4,1,4,4,6,5,0,0,0,1,5,3,7,7,1,5,7,1,8,7,2,4,
%T A175474 2,0,7,9,5,1,0,7,4,0,1,0,8,7,3,4,8,0,2,4,4,1,9,0,6,5,0,8,7,5,6,0,3,7,
%U A175474 5,7,4,7,3,3,1,3,8,3,8,6,3,7,5,6,5,3,6,1,5,4,9,6,2,5,2,7,0,7,1,1,9,5,9,8,3
%N A175474 Decimal expansion of the absolute value of the abscissa of the local maximum of the Gamma function in the interval [ -3,-2].
%C A175474 Also the location of the zero of the digamma function in the same interval.
%D A175474 Jerome Spanier and Keith B. Oldham, "Atlas of Functions", Hemisphere Publishing Corp., 1987, chapter 44, page 427.
%H A175474 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/GammaFunction.html">Gamma Function</a>.
%H A175474 Wikipedia, <a href="http://en.wikipedia.org/wiki/Particular_values_of_the_Gamma_function">Particular values of the Gamma function</a>.
%e A175474 Gamma(-2.6107208684441446500015377157..) = -0.8881363584012419200955280294..
%t A175474 x /. FindRoot[ PolyGamma[0, x] == 0, {x, -5/2}, WorkingPrecision -> 105] // Abs // RealDigits // First (* _Jean-François Alcover_, Jan 21 2013 *)
%o A175474 (PARI) solve(x=2.6,2.7,psi(-x)) \\ _Charles R Greathouse IV_, Jul 19 2013
%Y A175474 Cf. A030169, A030171, A175472, A175473.
%K A175474 cons,nonn
%O A175474 1,1
%A A175474 _R. J. Mathar_, May 25 2010