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 A377647 #6 Nov 04 2024 01:48:23
%S A377647 1,4,2,5,1,4,1,9,7,9,3,5,7,1,0,9,1,5,7,0,8,7,2,1,5,0,1,2,0,9,6,5,2,1,
%T A377647 6,0,8,9,5,4,6,3,4,1,0,7,6,4,1,0,9,2,3,7,9,9,4,8,6,5,5,8,4,5,4,9,8,7,
%U A377647 9,0,5,8,1,7,9,7,8,7,7,9,4,4,6,0,3,6,9,8,3,3,5,8,6,8,2,8,1,0,4,3
%N A377647 Decimal expansion of Pi^4/15 + Pi^2*log(2)^2/4 - log(2)^4/4 - 21*log(2)*zeta(3)/4 - 6*Li_4(1/2).
%D A377647 Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 1.6.8, p. 47.
%H A377647 Michael I. Shamos, <a href="http://euro.ecom.cmu.edu/people/faculty/mshamos/cat.pdf">A catalog of the real numbers</a>, (2007). See pp. 181-182.
%F A377647 Integral_{x=1..2} log(x)^3/(x - 1) [Levin] (see Finch).
%F A377647 Integral_{x=0..1} log(1 + x)^3/x (see Shamos).
%e A377647 0.142514197935710915708721501209652160895463410764...
%t A377647 RealDigits[Pi^4/15+Pi^2Log[2]^2/4-Log[2]^4/4-21Log[2]Zeta[3]/4-6PolyLog[4,1/2],10,100][[1]]
%Y A377647 Cf. A002117, A002162, A002388, A092425, A099218.
%K A377647 nonn,cons
%O A377647 0,2
%A A377647 _Stefano Spezia_, Nov 03 2024