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.

A198428 Decimal expansion of x>0 having x^2-2x=2*sin(x).

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%I A198428 #8 Apr 23 2025 12:35:38
%S A198428 2,4,8,8,4,2,5,2,5,9,6,5,3,5,6,6,0,1,7,4,8,7,4,9,8,4,9,4,9,3,6,1,7,9,
%T A198428 7,1,5,4,5,0,6,5,3,5,8,9,9,6,7,9,0,2,6,4,9,4,5,5,8,5,2,6,5,1,3,6,4,2,
%U A198428 3,8,9,5,1,6,0,2,0,1,2,7,8,7,7,4,7,4,2,4,6,9,1,2,5,4,5,6,1,0,4
%N A198428 Decimal expansion of x>0 having x^2-2x=2*sin(x).
%C A198428 See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%H A198428 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198428 2.488425259653566017487498494936179715450...
%t A198428 a = 1; b = -2; c = 2;
%t A198428 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t A198428 Plot[{f[x], g[x]}, {x, -.2, 2.5}]
%t A198428 r = x /. FindRoot[f[x] == g[x], {x, 2.48, 2.49}, WorkingPrecision -> 110]
%t A198428 RealDigits[r] (* A198428 *)
%Y A198428 Cf. A198414.
%K A198428 nonn,cons
%O A198428 1,1
%A A198428 _Clark Kimberling_, Oct 25 2011