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.

A198569 Decimal expansion of x>0 satisfying 2*x^2-3x=4*sin(x).

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%I A198569 #10 Apr 23 2025 12:45:39
%S A198569 2,2,1,8,7,2,9,3,7,4,8,7,5,6,3,8,2,6,7,3,3,6,7,8,2,5,8,6,8,3,7,6,2,5,
%T A198569 7,1,8,9,2,0,1,6,5,0,0,6,8,2,0,5,8,6,4,3,0,3,9,0,7,6,1,4,0,5,4,5,9,4,
%U A198569 1,9,4,9,4,4,1,4,5,2,5,3,9,5,4,4,7,7,1,5,3,9,8,5,8,2,2,8,6,0,4
%N A198569 Decimal expansion of x>0 satisfying 2*x^2-3x=4*sin(x).
%C A198569 See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%H A198569 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198569 2.21872937487563826733678258683762571892016...
%t A198569 a = 2; b = -3; c = 4;
%t A198569 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t A198569 Plot[{f[x], g[x]}, {x, -.2, 2.4}]
%t A198569 r = x /. FindRoot[f[x] == g[x], {x, 2.21, 2.22}, WorkingPrecision -> 110]
%t A198569 RealDigits[r] (* A198569 *)
%Y A198569 Cf. A198414.
%K A198569 nonn,cons
%O A198569 1,1
%A A198569 _Clark Kimberling_, Oct 27 2011