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.

A377644 Decimal expansion of Li_3(2 - phi).

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%I A377644 #5 Nov 04 2024 01:48:02
%S A377644 4,0,2,6,8,3,9,6,2,9,5,2,1,0,9,0,2,1,1,5,9,9,5,9,4,4,8,1,8,2,5,1,1,1,
%T A377644 4,2,2,1,9,7,3,3,8,0,7,3,7,9,3,8,3,9,5,0,1,6,9,0,8,6,9,0,2,0,9,7,1,6,
%U A377644 0,5,0,2,1,9,7,3,3,0,9,3,3,0,6,4,3,5,6,1,8,4,5,7,8,6,6,3,6,9,0,3
%N A377644 Decimal expansion of Li_3(2 - phi).
%D A377644 Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 1.6.3, p. 44.
%H A377644 Michael I. Shamos, <a href="http://euro.ecom.cmu.edu/people/faculty/mshamos/cat.pdf">A catalog of the real numbers</a>, (2007). See p. 397.
%F A377644 Equals 4*zeta(3)/5 + Pi^2*log(A132338)/15 - log(A132338)^3/12 (see Finch).
%F A377644 Equals Li_3(A094214^2) = 4*zeta(3)/5 + 2*zeta(2)*log(A132338)/5 - log(A132338)^3/12 (see Shamos).
%e A377644 0.402683962952109021159959448182511142219733807379...
%t A377644 RealDigits[PolyLog[3,2-GoldenRatio],10,100][[1]]
%Y A377644 Cf. A001622, A002117, A013661, A094214, A132338, A202543.
%K A377644 nonn,cons
%O A377644 0,1
%A A377644 _Stefano Spezia_, Nov 03 2024