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.

A199511 Decimal expansion of x>0 satisfying 3*x^2-3*x*sin(x)=cos(x).

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%I A199511 #8 Feb 08 2025 10:01:49
%S A199511 1,0,2,3,4,0,4,6,7,4,6,7,4,9,5,2,1,1,5,8,9,1,5,0,3,3,9,8,3,4,0,4,5,2,
%T A199511 4,6,0,8,8,2,7,7,3,1,5,4,4,1,5,9,5,1,3,7,7,4,8,6,0,7,7,7,8,3,3,0,7,7,
%U A199511 9,5,1,1,5,8,3,2,4,1,0,2,9,4,8,1,4,0,3,8,9,3,2,6,5,2,0,5,1,2,3
%N A199511 Decimal expansion of x>0 satisfying 3*x^2-3*x*sin(x)=cos(x).
%C A199511 See A199429 for a guide to related sequences. The Mathematica program includes a graph.
%H A199511 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199511 1.02340467467495211589150339834045246088277315441...
%t A199511 a = 3; b = -3; c = 1;
%t A199511 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]
%t A199511 Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
%t A199511 r = x /. FindRoot[f[x] == g[x], {x, 1.02, 1.03}, WorkingPrecision -> 110]
%t A199511 RealDigits[r]  (* A199511 *)
%Y A199511 Cf. A199429.
%K A199511 nonn,cons
%O A199511 1,3
%A A199511 _Clark Kimberling_, Nov 07 2011