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.

A199776 Decimal expansion of x>0 satisfying 2*x^2-2*x*cos(x)=sin(x).

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%I A199776 #8 Feb 08 2025 22:32:46
%S A199776 9,8,0,3,7,6,8,4,1,9,0,9,5,6,1,4,5,1,7,1,1,7,1,7,8,8,0,2,6,9,3,9,6,3,
%T A199776 0,3,3,7,7,0,0,5,9,2,1,1,8,0,7,6,9,9,5,2,0,9,7,3,5,8,9,2,5,6,1,0,5,5,
%U A199776 1,5,0,3,4,9,7,4,0,4,8,2,7,3,3,7,9,2,9,0,8,2,4,6,8,5,7,6,0,3,6
%N A199776 Decimal expansion of x>0 satisfying 2*x^2-2*x*cos(x)=sin(x).
%C A199776 See A199597 for a guide to related sequences. The Mathematica program includes a graph.
%H A199776 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199776 0.98037684190956145171171788026939630337700...
%t A199776 a = 2; b = -2; c = 1;
%t A199776 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
%t A199776 Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
%t A199776 r = x /. FindRoot[f[x] == g[x], {x, .98, .99}, WorkingPrecision -> 110]
%t A199776 RealDigits[r]   (* A199776 *)
%Y A199776 Cf. A199597.
%K A199776 nonn,cons
%O A199776 0,1
%A A199776 _Clark Kimberling_, Nov 10 2011