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.

A199062 Decimal expansion of x>0 satisfying 2*x^2+sin(x)=1.

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%I A199062 #8 Feb 07 2025 16:44:05
%S A199062 5,0,7,1,1,8,9,2,8,4,1,5,3,7,3,9,7,5,3,6,3,0,7,5,1,8,2,4,4,9,8,5,1,9,
%T A199062 9,6,9,5,7,7,2,8,9,7,4,6,6,5,4,0,7,7,4,1,8,0,9,1,8,0,7,7,6,2,9,8,6,6,
%U A199062 3,4,1,0,2,9,2,3,4,4,4,5,4,6,6,7,0,1,4,6,4,7,7,4,9,8,5,9,3,1,0
%N A199062 Decimal expansion of x>0 satisfying 2*x^2+sin(x)=1.
%C A199062 See A198866 for a guide to related sequences. The Mathematica program includes a graph.
%H A199062 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199062 negative: -0.9526097837113067137473480737923607058644...
%e A199062 positive:  0.507118928415373975363075182449851996957...
%t A199062 a = 2; b = 1; c = 1;
%t A199062 f[x_] := a*x^2 + b*Sin[x]; g[x_] := c
%t A199062 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t A199062 r = x /. FindRoot[f[x] == g[x], {x, -.96, -.95}, WorkingPrecision -> 110]
%t A199062 RealDigits[r] (* A199061 *)
%t A199062 r = x /. FindRoot[f[x] == g[x], {x, .50, .51}, WorkingPrecision -> 110]
%t A199062 RealDigits[r] (* A199062 *)
%Y A199062 Cf. A198866.
%K A199062 nonn,cons
%O A199062 0,1
%A A199062 _Clark Kimberling_, Nov 02 2011