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.

A355184 Decimal expansion of the perimeter of the region that represents the set of points in a unit square that are closer to the center of the square than to the closest edge.

This page as a plain text file.
%I A355184 #5 Jun 23 2022 13:49:16
%S A355184 1,7,0,3,0,8,2,4,9,6,6,5,8,9,5,3,2,2,7,8,3,5,8,4,9,1,2,2,7,4,9,2,0,3,
%T A355184 1,5,7,1,9,8,0,3,4,4,2,2,9,5,0,4,9,7,7,1,2,1,2,1,6,6,0,3,7,8,4,2,1,7,
%U A355184 2,6,9,2,4,5,5,2,3,3,5,0,4,9,0,3,5,1,6,3,3,3,3,1,2,3,5,3,4,0,2,3,8,9,5,7,0
%N A355184 Decimal expansion of the perimeter of the region that represents the set of points in a unit square that are closer to the center of the square than to the closest edge.
%C A355184 The shape is formed by the intersection of four parabolas. Its area is given in A355183.
%H A355184 Amiram Eldar, <a href="/A355183/a355183.jpg">Illustration</a>.
%H A355184 Missouri State University, <a href="http://people.missouristate.edu/lesreid/Adv05.html">Problem #5, The Area and Perimeter of a Certain Region</a>, Advanced Problem Archive; <a href="http://people.missouristate.edu/lesreid/AdvSol05.html">Solution to Problem #5</a>, by John Shonder.
%F A355184 Equals 2*log(sqrt(4-2*sqrt(2))+sqrt(2)-1) - sqrt(16-8*sqrt(2)) + sqrt(32-16*sqrt(2)).
%e A355184 1.70308249665895322783584912274920315719803442295049...
%t A355184 RealDigits[2*Log[Sqrt[4 - 2*Sqrt[2]] + Sqrt[2] - 1] - Sqrt[16 - 8*Sqrt[2]] + Sqrt[32 - 16*Sqrt[2]], 10, 100][[1]]
%Y A355184 Cf. A103712, A244921, A254140, A352453, A355183 (area).
%K A355184 nonn,cons
%O A355184 1,2
%A A355184 _Amiram Eldar_, Jun 23 2022