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.

A198995 Decimal expansion of x>0 satisfying 4*x^2-3*cos(x)=-1.

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%I A198995 #8 Feb 07 2025 19:43:49
%S A198995 6,0,5,5,2,0,1,2,3,4,6,2,2,5,3,5,2,3,9,5,8,2,9,0,7,0,5,9,6,5,7,4,3,8,
%T A198995 9,7,5,7,3,8,4,9,3,0,3,7,7,2,4,0,4,8,2,8,2,3,8,4,3,5,8,5,6,0,8,2,1,2,
%U A198995 9,4,8,5,0,1,1,2,2,2,9,1,5,6,2,8,0,1,5,4,5,6,7,2,6,8,4,0,6,6,7
%N A198995 Decimal expansion of x>0 satisfying 4*x^2-3*cos(x)=-1.
%C A198995 See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%H A198995 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198995 0.6055201234622535239582907059657438975738493037...
%t A198995 a = 4; b = -3; c = -1;
%t A198995 f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t A198995 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t A198995 r = x /. FindRoot[f[x] == g[x], {x, .60, .61}, WorkingPrecision -> 110]
%t A198995 RealDigits[r] (* A198995 *)
%Y A198995 Cf. A198755.
%K A198995 nonn,cons
%O A198995 0,1
%A A198995 _Clark Kimberling_, Nov 01 2011