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.

A198416 Decimal expansion of x>0 having x^2=4*sin(x).

This page as a plain text file.
%I A198416 #9 Feb 07 2025 16:44:05
%S A198416 1,9,3,3,7,5,3,7,6,2,8,2,7,0,2,1,2,5,3,3,0,8,4,7,5,6,6,9,0,9,0,6,8,0,
%T A198416 0,5,6,5,3,7,0,9,4,1,3,7,5,9,7,6,2,1,7,2,1,8,0,2,5,6,4,4,8,1,0,5,4,9,
%U A198416 3,2,9,4,9,5,8,0,6,4,0,7,4,6,8,7,6,4,8,0,2,2,7,0,3,2,1,4,5,3,3
%N A198416 Decimal expansion of x>0 having x^2=4*sin(x).
%C A198416 See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%H A198416 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198416 x=1.9337537628270212533084756690906800565370...
%t A198416 a = 1; b = 0; c = 4;
%t A198416 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t A198416 Plot[{f[x], g[x]}, {x, -1, 2}]
%t A198416 r = x /. FindRoot[f[x] == g[x], {x, 1.93, 1.94}, WorkingPrecision -> 110]
%t A198416 RealDigits[r] (* A198416 *)
%o A198416 (PARI) solve(x=1,2, x^2-4*sin(x)) \\ _Charles R Greathouse IV_, Jan 28 2025
%Y A198416 Cf. A198414.
%K A198416 nonn,cons
%O A198416 1,2
%A A198416 _Clark Kimberling_, Oct 24 2011