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.

A198549 Decimal expansion of x>0 having 2*x^2-x=4*sin(x).

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%I A198549 #8 Apr 23 2025 12:39:56
%S A198549 1,6,8,1,8,4,5,2,4,4,9,4,5,0,1,2,3,1,0,9,3,2,6,2,8,6,2,0,2,1,9,4,1,9,
%T A198549 9,4,2,3,5,6,4,0,1,7,1,5,4,1,8,8,1,7,9,6,6,6,2,1,5,7,0,1,0,1,8,4,7,2,
%U A198549 9,6,0,4,2,7,7,1,3,7,4,0,1,8,6,7,3,8,1,8,0,6,6,2,7,3,1,3,7,7,9
%N A198549 Decimal expansion of x>0 having 2*x^2-x=4*sin(x).
%C A198549 See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%H A198549 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198549 1.68184524494501231093262862021941994235640...
%t A198549 a = 2; b = -1; c = 4;
%t A198549 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t A198549 Plot[{f[x], g[x]}, {x, -.1, 2}]
%t A198549 r = x /. FindRoot[f[x] == g[x], {x, 1.68, 1.69}, WorkingPrecision -> 110]
%t A198549 RealDigits[r] (* A198549 *)
%Y A198549 Cf. A198414.
%K A198549 nonn,cons
%O A198549 1,2
%A A198549 _Clark Kimberling_, Oct 26 2011