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.

A198420 Decimal expansion of x>0 having x^2-x=sin(x).

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%I A198420 #8 Apr 23 2025 12:16:32
%S A198420 1,6,1,7,5,4,5,2,8,6,0,6,2,2,5,4,7,5,3,0,2,7,4,2,8,8,1,3,8,2,0,5,2,5,
%T A198420 2,8,0,1,7,6,9,9,4,7,6,1,9,0,7,9,5,9,6,1,2,7,9,9,7,8,3,0,3,8,7,7,1,4,
%U A198420 2,0,4,6,5,4,8,3,1,3,4,0,4,8,9,6,6,5,4,4,7,1,8,4,1,9,1,5,2,1,7
%N A198420 Decimal expansion of x>0 having x^2-x=sin(x).
%C A198420 See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%H A198420 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198420 1.6175452860622547530274288138205252801...
%t A198420 a = 1; b = -1; c = 1;
%t A198420 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t A198420 Plot[{f[x], g[x]}, {x, -1, 2}]
%t A198420 r = x /. FindRoot[f[x] == g[x], {x, 1.6, 1.7}, WorkingPrecision -> 110]
%t A198420 RealDigits[r] (* A198420 *)
%Y A198420 Cf. A198414.
%K A198420 nonn,cons
%O A198420 1,2
%A A198420 _Clark Kimberling_, Oct 24 2011