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.

A197731 Decimal expansion of 2*Pi/(1 + 4*Pi).

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%I A197731 #9 Oct 01 2022 00:55:54
%S A197731 4,6,3,1,4,4,1,5,8,8,7,5,4,1,9,4,4,3,2,1,2,5,7,8,2,2,9,1,0,2,2,6,2,4,
%T A197731 6,1,7,8,6,1,0,8,8,7,6,3,3,7,3,1,0,5,0,4,5,6,7,7,6,8,4,9,5,9,8,4,8,1,
%U A197731 9,4,5,9,9,4,8,1,1,8,4,6,5,5,1,3,2,3,6,9,1,3,4,5,8,3,3,1,4,7,6
%N A197731 Decimal expansion of 2*Pi/(1 + 4*Pi).
%C A197731 Least x > 0 such that sin(b*x) = cos(c*x) (and also sin(c*x) = cos(b*x)), where b=1/4 and c=Pi; see the Mathematica program for a graph and A197682 for a discussion and guide to related sequences.
%H A197731 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%e A197731 0.463144158875419443212578229102262461786108876...
%t A197731 b = 1/4; c = Pi;
%t A197731 t = x /. FindRoot[Sin[b*x] == Cos[c*x], {x, .46, .47}]
%t A197731 N[Pi/(2*b + 2*c), 110]
%t A197731 RealDigits[%]  (* A197731 *)
%t A197731 Simplify[Pi/(2*b + 2*c)]
%t A197731 Plot[{Sin[b*x], Cos[c*x]}, {x, 0, .8}]
%Y A197731 Cf. A197682.
%K A197731 nonn,cons
%O A197731 0,1
%A A197731 _Clark Kimberling_, Oct 17 2011