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.

A197735 Decimal expansion of 3*Pi/(1 + Pi).

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%I A197735 #10 Oct 01 2022 00:56:24
%S A197735 2,2,7,5,6,4,0,9,7,8,9,8,4,3,2,8,4,3,6,0,3,3,2,9,2,0,6,7,1,3,4,6,7,8,
%T A197735 5,9,2,4,1,5,2,7,9,0,9,6,9,2,1,5,9,2,9,9,0,0,0,6,9,6,4,6,4,1,3,4,7,6,
%U A197735 4,4,4,1,1,3,0,2,8,7,2,1,2,8,9,6,1,8,9,9,5,2,2,0,4,6,0,6,7,3,1
%N A197735 Decimal expansion of 3*Pi/(1 + Pi).
%C A197735 Least x > 0 such that sin(b*x) = cos(c*x) (and also sin(c*x) = cos(b*x)), where b=1/6 and c=Pi/6; see the Mathematica program for a graph and A197682 for a discussion and guide to related sequences.
%H A197735 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%e A197735 2.27564097898432843603329206713467859241...
%t A197735 b = 1/6; c = Pi/6;
%t A197735 t = x /. FindRoot[Sin[b*x] == Cos[c*x], {x, 2.27, 2.28}]
%t A197735 N[Pi/(2*b + 2*c), 110]
%t A197735 RealDigits[%]   (* A197735 *)
%t A197735 Simplify[Pi/(2*b + 2*c)]
%t A197735 Plot[{Sin[b*x], Cos[c*x]}, {x, 0, Pi}]
%Y A197735 Cf. A197682.
%K A197735 nonn,cons
%O A197735 1,1
%A A197735 _Clark Kimberling_, Oct 17 2011