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.

A198546 Decimal expansion of x>0 having 2*x^2-x=sin(x).

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%I A198546 #8 Apr 23 2025 12:37:56
%S A198546 9,3,0,8,5,6,7,5,6,0,3,9,4,5,5,9,5,5,2,7,5,4,0,5,8,2,0,7,0,0,9,8,2,8,
%T A198546 4,5,2,2,5,9,9,7,1,0,8,2,9,6,6,4,3,8,1,8,4,2,4,9,7,2,4,5,5,8,4,4,0,1,
%U A198546 6,0,3,9,2,0,4,8,7,8,0,8,1,1,2,7,8,1,4,6,5,0,0,1,7,9,3,4,3,7,4
%N A198546 Decimal expansion of x>0 having 2*x^2-x=sin(x).
%C A198546 See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%H A198546 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198546 0.9308567560394559552754058207009828452259971...
%t A198546 a = 2; b = -1; c = 1;
%t A198546 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t A198546 Plot[{f[x], g[x]}, {x, -.1, 1.1}]
%t A198546 r = x /. FindRoot[f[x] == g[x], {x, .93, .94}, WorkingPrecision -> 110]
%t A198546 RealDigits[r] (* A198546 *)
%Y A198546 Cf. A198414.
%K A198546 nonn,cons
%O A198546 0,1
%A A198546 _Clark Kimberling_, Oct 26 2011