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 A256845 #18 Sep 08 2022 08:46:12 %S A256845 1,4,4,3,0,3,9,1,6,2,2,5,3,8,3,2,1,5,1,5,1,6,2,8,0,2,2,5,2,0,6,0,0,6, %T A256845 0,7,7,6,0,5,3,9,8,3,3,9,8,4,9,8,0,8,9,9,7,0,1,4,4,1,8,0,8,7,2,1,2,1, %U A256845 6,9,3,1,6,9,4,4,1,6,1,6,7,7,3,4,2,3,6,7,6,5,8,2,2,9,3,6,6,8,7,3,7,8,6,5,7,8,6 %N A256845 Decimal expansion of the generalized Euler constant gamma(2,4). %H A256845 G. C. Greubel, <a href="/A256845/b256845.txt">Table of n, a(n) for n = 0..10000</a> %H A256845 D. H. Lehmer, <a href="http://matwbn.icm.edu.pl/ksiazki/aa/aa27/aa27121.pdf">Euler constants for arithmetic progressions</a>, Acta Arith. 27 (1975) p. 134. %F A256845 -log(4)/4 - PolyGamma(1/2)/4 = EulerGamma/4 %F A256845 From _Amiram Eldar_, Jul 21 2020: (Start) %F A256845 Equals -Integral_{x=0..oo} e^(-x^2)*x*log(x) dx. %F A256845 Equals Integral_{x=0..oo} (e^(-x^4) - e^(-x^2))/x dx. (End) %e A256845 0.1443039162253832151516280225206006077605398339849808997... %t A256845 RealDigits[EulerGamma/4, 10, 107] // First %o A256845 (PARI) default(realprecision, 100); Euler/4 \\ _G. C. Greubel_, Aug 28 2018 %o A256845 (Magma) R:= RealField(100); EulerGamma(R)/4; // _G. C. Greubel_, Aug 28 2018 %Y A256845 Cf. A001620 (gamma(1,1) = EulerGamma), %Y A256845 Primitive ruler-and-compass constructible gamma(r,k): A228725 (1,2), A256425 (1,3), A256778 (1,4), A256779 (1,5), A256780 (2,5), A256781 (1,8), A256782 (3,8), A256783 (1,12), A256784 (5,12), %Y A256845 Other gamma(r,k) (1 <= r <= k <= 5): A239097 (2,2), A256843 (2,3), A256844 (3,3), A256845 (2,4), A256846 (3,4), A256847 (4,4), A256848 (3,5), A256849 (4,5), A256850 (5,5). %K A256845 nonn,cons,easy %O A256845 0,2 %A A256845 _Jean-François Alcover_, Apr 11 2015