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.

A198427 Decimal expansion of x>0 having x^2-2x=sin(x).

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%I A198427 #8 Apr 23 2025 12:35:30
%S A198427 2,3,1,6,9,3,4,2,8,8,6,2,3,7,3,9,7,9,1,5,2,2,7,3,2,0,4,9,8,8,7,4,4,0,
%T A198427 9,0,5,3,7,1,8,0,2,6,1,6,1,4,7,6,2,8,3,1,6,4,4,2,7,5,0,1,7,0,9,9,7,3,
%U A198427 1,6,6,4,6,1,7,2,2,7,3,4,1,6,1,4,2,8,7,6,2,3,6,7,7,5,8,4,8,7,7
%N A198427 Decimal expansion of x>0 having x^2-2x=sin(x).
%C A198427 See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%H A198427 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198427 2.3169342886237397915227320498874409...
%t A198427 a = 1; b = -2; c = 1;
%t A198427 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t A198427 Plot[{f[x], g[x]}, {x, -.2, 2.5}]
%t A198427 r = x /. FindRoot[f[x] == g[x], {x, 2.31, 2.32}, WorkingPrecision -> 110]
%t A198427 RealDigits[r] (* A198427 *)
%Y A198427 Cf. A198414.
%K A198427 nonn,cons
%O A198427 1,1
%A A198427 _Clark Kimberling_, Oct 25 2011