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.

A198497 Decimal expansion of x>0 having 2x^2+2x=sin(x).

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%I A198497 #9 Apr 23 2025 12:34:05
%S A198497 4,4,9,9,0,5,8,6,5,9,7,0,4,6,5,3,8,8,5,5,4,4,2,8,7,6,4,9,2,6,2,1,7,8,
%T A198497 7,2,2,8,8,9,0,1,8,3,2,5,7,6,1,0,0,7,1,0,1,8,3,8,8,4,0,0,8,6,8,0,4,6,
%U A198497 4,9,5,8,6,2,3,1,9,0,3,9,7,7,1,0,2,6,1,9,2,3,4,3,6,9,6,5,8,3,2
%N A198497 Decimal expansion of x>0 having 2x^2+2x=sin(x).
%C A198497 See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%H A198497 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198497 0.449905865970465388554428764926217872288...
%t A198497 a = 2; b = 2; c = 3;
%t A198497 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t A198497 Plot[{f[x], g[x]}, {x, -1, 1}]
%t A198497 r = x /. FindRoot[f[x] == g[x], {x, .4, .5}, WorkingPrecision -> 110]
%t A198497 RealDigits[r] (* A198497 *)
%Y A198497 Cf. A198414.
%K A198497 nonn,cons
%O A198497 0,1
%A A198497 _Clark Kimberling_, Oct 25 2011