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.

A197574 Decimal expansion of least x > 0 having sin(x) = sin(Pi*x)^2.

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%I A197574 #12 Jan 12 2025 14:16:43
%S A197574 1,0,4,8,7,5,9,9,9,7,1,1,7,4,3,8,7,3,9,6,8,4,1,3,8,9,4,3,2,6,4,8,1,6,
%T A197574 1,7,6,1,7,8,8,1,4,9,8,5,1,0,2,7,6,9,7,2,7,1,1,8,2,8,0,6,4,8,1,9,5,0,
%U A197574 4,2,8,7,7,5,9,7,7,0,9,4,9,5,7,0,8,8,1,5,9,3,0,1,0,4,5,3,4,7,4
%N A197574 Decimal expansion of least x > 0 having sin(x) = sin(Pi*x)^2.
%C A197574 The Mathematica program includes a graph. See A197476 for a guide for the least x > 0 satisfying cos(b*x) = cos(c*x)^2 for selected b and c.
%e A197574 x=0.104875999711743873968413894326481617617881...
%t A197574 b = 1; c = Pi; f[x_] := Sin[x]
%t A197574 t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .1, .11}, WorkingPrecision -> 200]
%t A197574 RealDigits[t] (* A197574 *)
%t A197574 Plot[{f[b*x], f[c*x]^2}, {x, 0, 0.2}]
%Y A197574 Cf. A197133.
%K A197574 nonn,cons
%O A197574 0,3
%A A197574 _Clark Kimberling_, Oct 16 2011
%E A197574 Name corrected by _Sean A. Irvine_, Jan 12 2025