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.

A198583 Decimal expansion of x>0 satisfying 2*x^2=sin(x).

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%I A198583 #9 Feb 07 2025 16:44:05
%S A198583 4,8,0,9,4,5,9,5,7,7,2,8,1,2,9,6,5,7,7,6,6,2,9,7,8,5,6,5,3,7,6,5,6,3,
%T A198583 8,3,3,8,5,4,0,7,0,8,5,9,1,3,4,6,6,3,6,7,3,2,9,2,5,6,2,6,9,9,9,6,3,9,
%U A198583 8,8,3,9,3,6,3,9,6,1,1,1,9,9,5,1,9,4,0,8,7,2,8,1,3,9,2,8,2,1,3
%N A198583 Decimal expansion of x>0 satisfying 2*x^2=sin(x).
%C A198583 See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%H A198583 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198583 0.480945957728129657766297856537656383385407...
%t A198583 a = 2; b = 0; c = 1;
%t A198583 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t A198583 Plot[{f[x], g[x]}, {x, -.1, 1}]
%t A198583 r = x /. FindRoot[f[x] == g[x], {x, .48, .49}, WorkingPrecision -> 110]
%t A198583 RealDigits[r] (* A198583 *)
%Y A198583 Cf. A198414.
%K A198583 nonn,cons
%O A198583 0,1
%A A198583 _Clark Kimberling_, Oct 27 2011