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.

A197726 Decimal expansion of Pi/(1 + Pi).

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%I A197726 #10 Sep 30 2022 23:22:07
%S A197726 7,5,8,5,4,6,9,9,2,9,9,4,7,7,6,1,4,5,3,4,4,4,3,0,6,8,9,0,4,4,8,9,2,8,
%T A197726 6,4,1,3,8,4,2,6,3,6,5,6,4,0,5,3,0,9,9,6,6,6,8,9,8,8,2,1,3,7,8,2,5,4,
%U A197726 8,1,3,7,1,0,0,9,5,7,3,7,6,3,2,0,6,3,3,1,7,4,0,1,5,3,5,5,7,7,2
%N A197726 Decimal expansion of Pi/(1 + Pi).
%C A197726 Least x > 0 such that sin(b*x) = cos(c*x) (and also sin(c*x) = cos(b*x)), where b=1/2 and c=Pi/2; see the Mathematica program for a graph and A197682 for a discussion and guide to related sequences.
%H A197726 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%e A197726 0.7585469929947761453444306890448928641384...
%t A197726 b = 1/2; c = Pi/2;
%t A197726 t = x /. FindRoot[Sin[b*x] == Cos[c*x], {x, .75, .76}]
%t A197726 N[Pi/(2*b + 2*c), 110]
%t A197726 RealDigits[%]  (* A197726 *)
%t A197726 Simplify[Pi/(2*b + 2*c)]
%t A197726 Plot[{Sin[b*x], Cos[c*x]}, {x, 0, 2}]
%o A197726 (PARI) 1/(1/Pi+1) \\ _Charles R Greathouse IV_, Sep 30 2022
%Y A197726 Cf. A197682.
%K A197726 nonn,cons
%O A197726 0,1
%A A197726 _Clark Kimberling_, Oct 17 2011