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.

A197695 Decimal expansion of Pi/(6 + 2*Pi).

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%I A197695 #12 Oct 01 2022 00:49:53
%S A197695 2,5,5,7,6,3,6,7,8,1,5,2,2,3,9,2,0,7,3,2,6,1,4,4,9,0,1,0,6,9,1,9,0,0,
%T A197695 2,4,1,8,9,1,1,5,4,8,9,2,9,0,6,7,8,2,0,8,0,4,3,9,1,7,9,1,7,0,7,0,1,9,
%U A197695 7,5,1,8,0,7,1,6,2,5,2,2,1,0,1,3,8,5,6,3,5,7,5,2,1,5,8,0,4,3,8
%N A197695 Decimal expansion of Pi/(6 + 2*Pi).
%C A197695 Least x > 0 such that sin(b*x) = cos(c*x) (and also sin(c*x) = cos(b*x)), where b=3 and c=Pi; see the Mathematica program for a graph and A197682 for a discussion and guide to related sequences.
%H A197695 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%e A197695 0.255763678152239207326144901069190024189115...
%t A197695 b = 3; c = Pi;
%t A197695 t = x /. FindRoot[Sin[b*x] == Cos[c*x], {x, .2, .3}]
%t A197695 N[Pi/(2*b + 2*c), 110]
%t A197695 RealDigits[%]  (* A197695 *)
%t A197695 Simplify[Pi/(2*b + 2*c)]
%t A197695 Plot[{Sin[b*x], Cos[c*x]}, {x, 0, .4}]
%t A197695 RealDigits[Pi/(6+2*Pi),10,120][[1]] (* _Harvey P. Dale_, Jun 24 2015 *)
%Y A197695 Cf. A197682.
%K A197695 nonn,cons
%O A197695 0,1
%A A197695 _Clark Kimberling_, Oct 17 2011