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.

A198567 Decimal expansion of x>0 satisfying 2*x^2-3x=2*sin(x).

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%I A198567 #9 Apr 23 2025 12:44:53
%S A198567 1,9,6,8,3,9,7,5,0,7,8,5,8,7,3,2,8,4,1,3,8,2,8,9,9,1,8,4,6,0,1,6,9,6,
%T A198567 2,4,0,7,8,6,7,2,2,4,1,9,7,3,7,3,7,3,7,8,8,8,9,4,2,2,1,6,4,7,1,6,3,9,
%U A198567 2,1,6,3,5,0,9,9,5,1,6,9,3,7,2,5,0,0,6,6,2,2,3,4,3,4,3,8,2,0,7
%N A198567 Decimal expansion of x>0 satisfying 2*x^2-3x=2*sin(x).
%C A198567 See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%H A198567 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198567 1.96839750785873284138289918460169624078672...
%t A198567 a = 2; b = -3; c = 2;
%t A198567 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t A198567 Plot[{f[x], g[x]}, {x, -.2, 2}]
%t A198567 r = x /. FindRoot[f[x] == g[x], {x, 1.96, 1.97}, WorkingPrecision -> 110]
%t A198567 RealDigits[r] (* A198567 *)
%Y A198567 Cf. A198414.
%K A198567 nonn,cons
%O A198567 1,2
%A A198567 _Clark Kimberling_, Oct 27 2011