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 A386737 #6 Aug 01 2025 11:08:25
%S A386737 2,7,6,0,6,7,8,7,3,8,0,4,7,1,4,7,9,4,5,8,3,7,9,1,5,7,2,6,5,2,7,1,5,4,
%T A386737 8,8,9,2,3,8,4,6,8,8,5,3,7,5,9,1,3,9,5,5,5,5,0,8,4,2,0,5,1,9,0,3,4,1,
%U A386737 4,6,1,5,0,3,4,0,7,7,6,7,4,4,0,3,3,8,9,4,8,4,5,0,9,8,6,9,0,8,5,6,3,9,9,6,6
%N A386737 Decimal expansion of Integral_{x=0..1} Integral_{y=0..1} Integral_{z=0..1} {1/(x+y+z)}^3 dx dy dz, where {} denotes fractional part.
%H A386737 Ovidiu Furdui, <a href="https://doi.org/10.18514/MMN.2016.748">Multiple Fractional Part Integrals and Euler's Constant</a>, Miskolc Mathematical Notes, Vol. 17, No. 1 (2016), pp. 255-266.
%F A386737 Equals log(3)/2 - 3*log(2)/2 + 5/3 - gamma/2 - zeta(2)/4 - zeta(3)/6.
%e A386737 0.27606787380471479458379157265271548892384688537591...
%t A386737 RealDigits[Log[3]/2 - 3*Log[2]/2 + 5/3 - EulerGamma/2 - Zeta[2]/4 - Zeta[3]/6, 10, 120][[1]]
%o A386737 (PARI) log(3)/2 - 3*log(2)/2 + 5/3 - Euler/2 - zeta(2)/4 - zeta(3)/6
%Y A386737 Cf. A001620 (gamma), A002117, A002162, A002391, A013661, A386734, A386736.
%K A386737 nonn,cons
%O A386737 0,1
%A A386737 _Amiram Eldar_, Aug 01 2025