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.

A197724 Decimal expansion of Pi^2/(2 + Pi).

This page as a plain text file.
%I A197724 #13 Mar 19 2023 09:35:39
%S A197724 1,9,1,9,5,6,1,7,1,2,8,8,6,4,7,8,6,5,9,7,0,1,4,5,2,6,0,7,3,7,1,5,6,5,
%T A197724 1,6,0,7,2,2,3,2,4,1,3,3,4,6,2,9,2,0,2,3,0,5,5,7,1,1,1,0,4,2,2,2,2,8,
%U A197724 8,6,7,3,8,4,1,3,5,7,7,3,2,1,3,1,3,2,9,2,0,5,8,4,2,8,7,6,8,4,5
%N A197724 Decimal expansion of Pi^2/(2 + Pi).
%C A197724 Least x > 0 such that sin(b*x) = cos(c*x) (and also sin(c*x) = cos(b*x)), where b=1/2 and c=1/Pi; see the Mathematica program for a graph and A197682 for a discussion and guide to related sequences.
%H A197724 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%e A197724 1.91956171288647865970145260737156516072232...
%t A197724 b = 1/2; c = 1/Pi;
%t A197724 t = x /. FindRoot[Sin[b*x] == Cos[c*x], {x, 1.9, 1.92}]
%t A197724 N[Pi/(2*b + 2*c), 110]
%t A197724 RealDigits[%]  (* A197724 *)
%t A197724 Simplify[Pi/(2*b + 2*c)]
%t A197724 Plot[{Sin[b*x], Cos[c*x]}, {x, 0, 2.8}]
%t A197724 RealDigits[Pi^2/(2+Pi),10,120][[1]] (* _Harvey P. Dale_, Mar 19 2023 *)
%Y A197724 Cf. A197682.
%K A197724 nonn,cons
%O A197724 1,2
%A A197724 _Clark Kimberling_, Oct 17 2011