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.

A130204 Decimal expansion of the mean distance between two points picked at random in a quarter-disk.

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%I A130204 #12 Feb 16 2025 08:33:06
%S A130204 4,7,3,8,7,7,2,6,2,2,4,2,3,2,5,8,2,9,7,9,7,9,2,8,1,5,8,7,4,1,4,3,9,7,
%T A130204 9,1,1,1,7,3,4,7,0,8,9,6,4,4,3,0,9,6,8,4,3,9,2,2,4,1,1,2,7,3,0,7,7,0,
%U A130204 9,4,2,2,0,9,8,7,0,2,7,7,4,6,1,6,8,3,7,7,3,0,2,4,4,2,3,8,3,9,0,2,7,4,0,1,3
%N A130204 Decimal expansion of the mean distance between two points picked at random in a quarter-disk.
%H A130204 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/CircularSectorLinePicking.html">Circular Sector Line Picking</a>.
%F A130204 Equals (32*(3 - 94*sqrt(2) + 48*Pi + 6*log(-2 + 2*sqrt(2))))/(135*Pi^2).
%e A130204 0.47387726224232582979...
%t A130204 RealDigits[32*(3 - 94*Sqrt[2] + 48*Pi + 6*Log[2*(Sqrt[2]-1)])/(135*Pi^2), 10, 100][[1]] (* _Amiram Eldar_, Jun 25 2021 *)
%o A130204 (PARI) (32*(3 - 94*sqrt(2) + 48*Pi + 6*log(-2 + 2*sqrt(2))))/(135*Pi^2) \\ _Michel Marcus_, Jun 25 2021
%Y A130204 Cf. A093070, A130203.
%K A130204 nonn,cons
%O A130204 0,1
%A A130204 _Eric W. Weisstein_, May 16 2007