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.

A199725 Decimal expansion of x>0 satisfying x^2-2*x*cos(x)=2*sin(x).

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%I A199725 #8 Feb 08 2025 22:24:39
%S A199725 1,4,9,2,4,6,3,2,3,9,8,0,6,3,7,8,6,7,2,0,7,0,4,0,6,5,8,9,5,2,8,0,4,3,
%T A199725 7,9,9,0,6,1,7,7,3,6,3,5,7,2,8,3,4,3,9,2,8,5,2,5,8,7,8,2,8,0,2,6,8,9,
%U A199725 2,1,3,0,5,6,7,0,6,7,6,5,8,6,7,6,6,6,9,3,5,0,8,0,7,5,7,2,7,5,1
%N A199725 Decimal expansion of x>0 satisfying x^2-2*x*cos(x)=2*sin(x).
%C A199725 See A199597 for a guide to related sequences. The Mathematica program includes a graph.
%H A199725 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199725 1.4924632398063786720704065895280437990...
%t A199725 a = 1; b = -2; c = 2;
%t A199725 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
%t A199725 Plot[{f[x], g[x]}, {x, -2 Pi, Pi}, {AxesOrigin -> {0, 0}}]
%t A199725 r = x /. FindRoot[f[x] == g[x], {x, 1.49, 1.50}, WorkingPrecision -> 110]
%t A199725 RealDigits[r]  (* A199725 *)
%Y A199725 Cf. A199597.
%K A199725 nonn,cons
%O A199725 1,2
%A A199725 _Clark Kimberling_, Nov 09 2011