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.

A199378 Decimal expansion of x>0 satisfying x^2+3*x*sin(x)=3.

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%I A199378 #8 Feb 07 2025 16:44:05
%S A199378 9,1,2,8,2,0,7,1,7,4,4,6,3,9,5,3,5,1,1,5,3,5,0,7,0,7,9,7,7,8,2,2,8,0,
%T A199378 5,2,8,8,3,9,3,5,5,9,6,6,5,9,6,1,3,6,7,9,3,7,1,5,5,7,9,9,2,1,9,4,8,9,
%U A199378 3,1,3,7,9,3,5,6,0,7,1,4,5,1,6,7,8,4,2,9,4,0,6,2,2,6,8,3,1,1,9
%N A199378 Decimal expansion of x>0 satisfying x^2+3*x*sin(x)=3.
%C A199378 See A199370 for a guide to related sequences. The Mathematica program includes a graph.
%H A199378 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199378 0.9128207174463953511535070797782280528...
%t A199378 a = 1; b = 3; c = 3;
%t A199378 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c
%t A199378 Plot[{f[x], g[x]}, {x, -1, 2 Pi}, {AxesOrigin -> {0, 0}}]
%t A199378 r = x /. FindRoot[f[x] == g[x], {x, .91, .92}, WorkingPrecision -> 110]
%t A199378 RealDigits[r]   (* A199378 *)
%Y A199378 Cf. A199370.
%K A199378 nonn,cons
%O A199378 0,1
%A A199378 _Clark Kimberling_, Nov 05 2011