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.
%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