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.

A198577 Decimal expansion of x > 0 satisfying 2*x^2-4*x = sin(x).

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%I A198577 #13 Apr 23 2025 12:47:14
%S A198577 2,1,8,6,6,5,0,7,8,3,2,6,6,9,0,6,1,7,9,5,8,5,5,4,5,2,7,5,4,8,1,7,9,4,
%T A198577 6,4,2,1,0,4,2,1,1,2,2,2,7,3,1,3,3,9,8,1,8,5,6,6,8,7,2,1,7,5,8,6,4,9,
%U A198577 2,6,3,6,0,0,2,0,8,3,0,9,4,5,2,3,6,8,9,8,9,8,5,0,9,6,8,5,8,2,5
%N A198577 Decimal expansion of x > 0 satisfying 2*x^2-4*x = sin(x).
%C A198577 See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%H A198577 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198577 2.186650783266906179585545275481794642104211222...
%t A198577 a = 2; b = -4; c = 1;
%t A198577 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t A198577 Plot[{f[x], g[x]}, {x, -.2, 2.5}]
%t A198577 r = x /. FindRoot[f[x] == g[x], {x, 2.1, 2.2}, WorkingPrecision -> 110]
%t A198577 RealDigits[r] (* A198577 *)
%Y A198577 Cf. A198414.
%K A198577 nonn,cons
%O A198577 1,1
%A A198577 _Clark Kimberling_, Oct 27 2011
%E A198577 a(86) onwards corrected by _Georg Fischer_, Aug 01 2021