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.

A198985 Decimal expansion of x>0 satisfying 4*x^2+2*cos(x)=3.

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%I A198985 #8 Feb 07 2025 19:46:55
%S A198985 5,7,4,7,4,8,0,8,5,9,3,7,2,5,4,0,8,5,7,8,8,8,3,6,9,3,6,5,0,9,0,8,0,2,
%T A198985 4,1,0,0,1,9,1,6,9,4,9,9,3,9,2,4,4,9,2,9,6,7,4,3,8,2,6,6,3,0,7,1,7,5,
%U A198985 4,0,3,8,3,0,9,4,3,0,5,1,2,3,4,1,0,5,4,7,6,0,9,3,3,8,0,8,9,2,8
%N A198985 Decimal expansion of x>0 satisfying 4*x^2+2*cos(x)=3.
%C A198985 See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%H A198985 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198985 0.57474808593725408578883693650908024100...
%t A198985 a = 4; b = 2; c = 3;
%t A198985 f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t A198985 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t A198985 r = x /. FindRoot[f[x] == g[x], {x, .57, .58}, WorkingPrecision -> 110]
%t A198985 RealDigits[r] (* A198985 *)
%Y A198985 Cf. A198755.
%K A198985 nonn,cons
%O A198985 0,1
%A A198985 _Clark Kimberling_, Nov 01 2011