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.

A199393 Decimal expansion of x>0 satisfying 3*x^2+3*x*sin(x)=1.

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%I A199393 #8 Feb 07 2025 19:55:48
%S A199393 4,1,1,1,2,9,5,2,1,5,0,2,6,0,0,4,6,8,5,7,4,2,7,8,6,4,7,1,6,9,1,8,4,1,
%T A199393 2,8,9,3,0,9,8,1,1,2,5,5,0,7,1,2,2,7,4,1,7,5,8,5,2,4,4,6,1,2,1,6,6,6,
%U A199393 4,7,8,7,4,1,2,2,8,7,3,0,2,7,3,8,5,2,1,0,2,4,3,7,7,3,6,1,9,9,9
%N A199393 Decimal expansion of x>0 satisfying 3*x^2+3*x*sin(x)=1.
%C A199393 See A199370 for a guide to related sequences. The Mathematica program includes a graph.
%H A199393 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199393 0.4111295215026004685742786471691841289309811...
%t A199393 a = 3; b = 3; c = 1;
%t A199393 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c
%t A199393 Plot[{f[x], g[x]}, {x, -1, Pi}, {AxesOrigin -> {0, 0}}]
%t A199393 r = x /. FindRoot[f[x] == g[x], {x, .41, .42}, WorkingPrecision -> 110]
%t A199393 RealDigits[r]  (* A199393 *)
%Y A199393 Cf. A199370.
%K A199393 nonn,cons
%O A199393 0,1
%A A199393 _Clark Kimberling_, Nov 06 2011