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.

A199383 Decimal expansion of x>0 satisfying 2*x^2+2*x*sin(x)=3.

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%I A199383 #8 Feb 07 2025 19:53:48
%S A199383 8,9,5,2,1,9,7,4,4,4,3,5,8,2,0,0,1,2,9,7,0,8,7,2,7,4,6,3,6,1,9,6,5,9,
%T A199383 6,7,4,8,9,0,5,6,5,3,0,4,3,5,7,4,1,0,0,1,8,6,6,7,9,3,6,9,1,0,6,5,5,4,
%U A199383 5,5,2,3,7,6,2,5,2,8,2,2,5,9,2,7,6,5,9,5,5,5,9,1,4,5,1,6,2,8,8
%N A199383 Decimal expansion of x>0 satisfying 2*x^2+2*x*sin(x)=3.
%C A199383 See A199370 for a guide to related sequences. The Mathematica program includes a graph.
%H A199383 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199383 0.89521974443582001297087274636196596748905653...
%t A199383 a = 2; b = 2; c = 3;
%t A199383 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c
%t A199383 Plot[{f[x], g[x]}, {x, -1, Pi}, {AxesOrigin -> {0, 0}}]
%t A199383 r = x /. FindRoot[f[x] == g[x], {x, .89, .90}, WorkingPrecision -> 110]
%t A199383 RealDigits[r]    (* A199383 *)
%Y A199383 Cf. A199370.
%K A199383 nonn,cons
%O A199383 0,1
%A A199383 _Clark Kimberling_, Nov 05 2011