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.

A197381 Decimal expansion of least x > 0 having sin(Pi*x/4) = sin(Pi*x/3)^2.

This page as a plain text file.
%I A197381 #15 Apr 10 2021 11:35:00
%S A197381 8,8,7,3,6,0,4,8,4,4,7,7,8,5,1,6,3,6,8,6,1,3,1,4,2,5,6,8,0,8,3,6,9,0,
%T A197381 1,2,5,1,3,0,6,8,4,3,9,8,9,4,4,2,1,2,8,2,1,5,5,7,2,9,6,2,2,6,0,6,1,9,
%U A197381 8,2,8,8,7,9,9,0,9,8,9,9,9,6,4,7,5,8,9,9,9,1,8,3,6,4,8,4,8,3,8
%N A197381 Decimal expansion of least x > 0 having sin(Pi*x/4) = sin(Pi*x/3)^2.
%C A197381 The Mathematica program includes a graph. See A197133 for a guide to least x > 0 satisfying sin(b*x) = sin(c*x)^2 for selected b and c.
%e A197381 x=0.88736048447785163686131425680836901251306...
%t A197381 b = Pi/4; c = Pi/3; f[x_] := Sin[x]
%t A197381 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 0.8, 1}, WorkingPrecision -> 200]
%t A197381 RealDigits[t] (* A197381 *)
%t A197381 Plot[{f[b*x], f[c*x]^2}, {x, 0, 2}]
%t A197381 (* or *)
%t A197381 RealDigits[12*ArcTan[Sqrt[Root[9 - 217*#1 + 1085*#1^2 - 1501*#1^3 + 1019*#1^4 - 267*#1^5 - #1^6 + #1^7 & , 2]]]/Pi, 10, 120][[1]] (* _Vaclav Kotesovec_, Nov 14 2015 *)
%Y A197381 Cf. A197133.
%K A197381 nonn,cons
%O A197381 0,1
%A A197381 _Clark Kimberling_, Oct 14 2011