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.

A199054 Decimal expansion of x<0 satisfying x^2+3*sin(x)=1.

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%I A199054 #8 Feb 07 2025 16:44:05
%S A199054 1,9,4,6,8,7,7,7,4,4,6,7,0,6,8,2,9,0,8,3,3,5,4,7,3,5,4,6,6,9,7,7,2,3,
%T A199054 8,6,1,8,8,1,5,9,2,3,4,1,2,9,4,2,8,9,9,9,1,3,7,3,1,9,5,9,9,7,7,7,1,2,
%U A199054 3,9,0,9,2,4,6,1,9,9,5,4,9,1,6,9,6,4,6,8,6,8,3,4,1,6,6,2,2,7,7
%N A199054 Decimal expansion of x<0 satisfying x^2+3*sin(x)=1.
%C A199054 See A198866 for a guide to related sequences. The Mathematica program includes a graph.
%H A199054 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199054 negative: -1.946877744670682908335473546697723...
%e A199054 positive:  0.306755354137753007011651634733360...
%t A199054 a = 1; b = 3; c = 1;
%t A199054 f[x_] := a*x^2 + b*Sin[x]; g[x_] := c
%t A199054 Plot[{f[x], g[x]}, {x, -3, 2}, {AxesOrigin -> {0, 0}}]
%t A199054 r = x /. FindRoot[f[x] == g[x], {x, -2, -1.9}, WorkingPrecision -> 110]
%t A199054 RealDigits[r] (* A199054 *)
%t A199054 r = x /. FindRoot[f[x] == g[x], {x, .3, .31}, WorkingPrecision -> 110]
%t A199054 RealDigits[r] (* A199055 *)
%Y A199054 Cf. A198866.
%K A199054 nonn,cons
%O A199054 1,2
%A A199054 _Clark Kimberling_, Nov 02 2011