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.

A197689 Decimal expansion of 3*Pi/(6 + Pi).

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%I A197689 #12 Oct 01 2022 00:47:59
%S A197689 1,0,3,0,9,7,7,6,7,7,2,9,4,3,8,0,7,5,7,6,4,9,5,5,9,1,2,4,6,8,0,7,1,8,
%T A197689 3,7,5,4,9,8,3,5,4,0,3,2,9,5,0,6,7,4,4,5,0,1,9,1,0,8,3,0,4,3,9,6,1,8,
%U A197689 9,6,6,2,8,3,9,3,7,9,2,2,1,1,1,7,7,2,6,6,1,1,0,2,5,3,7,0,4,6,6
%N A197689 Decimal expansion of 3*Pi/(6 + Pi).
%C A197689 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/6; see the Mathematica program for a graph and A197682 for a discussion and guide to related sequences.
%H A197689 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%e A197689 x=1.030977677294380757649559124680718375498354...
%t A197689 b = 1; c = Pi/6;
%t A197689 t = x /. FindRoot[Sin[b*x] == Cos[c*x], {x, 1, 1.05}]
%t A197689 N[Pi/(2*b + 2*c), 110]
%t A197689 RealDigits[%]  (* A197689 *)
%t A197689 Simplify[Pi/(2*b + 2*c)]
%t A197689 Plot[{Sin[b*x], Cos[c*x]}, {x, 0, Pi/2}]
%Y A197689 Cf. A197682.
%K A197689 nonn,cons
%O A197689 1,3
%A A197689 _Clark Kimberling_, Oct 17 2011