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.

A197686 Decimal expansion of Pi/(2 + Pi).

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%I A197686 #11 Oct 01 2022 00:05:45
%S A197686 6,1,1,0,1,5,4,7,0,3,5,1,6,5,7,2,8,9,3,8,0,5,9,5,3,8,7,9,5,3,9,6,8,8,
%T A197686 6,1,7,3,7,4,2,2,6,3,2,9,5,6,0,9,2,7,9,5,2,0,8,9,1,6,7,7,5,0,4,2,4,6,
%U A197686 4,8,3,3,9,3,6,3,1,5,8,3,8,6,5,7,3,7,1,3,8,3,4,5,6,6,7,4,3,0,5
%N A197686 Decimal expansion of Pi/(2 + Pi).
%C A197686 Least x>0 such that sin(b*x) = cos(c*x) (and also sin(c*x) = cos(b*x)), where b=1 and c=Pi/2; see the Mathematica program for a graph and A197682 for a discussion and guide to related sequences.
%H A197686 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%e A197686 0.611015470351657289380595387953968861737422632...
%t A197686 b = 1; c = Pi/2;
%t A197686 t = x /. FindRoot[Sin[b*x] == Cos[c*x], {x, .6, .7}]
%t A197686 N[Pi/(2*b + 2*c), 110]
%t A197686 RealDigits[%]  (* A197686 *)
%t A197686 Simplify[Pi/(2*b + 2*c)]
%t A197686 Plot[{Sin[b*x], Cos[c*x]}, {x, 0, 1}]
%Y A197686 Cf. A197682.
%K A197686 nonn,cons
%O A197686 0,1
%A A197686 _Clark Kimberling_, Oct 17 2011