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 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