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.

A198875 Decimal expansion of x>0 satisfying 2*x^2-2*cos(x)=-1.

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%I A198875 #10 Feb 07 2025 16:44:05
%S A198875 5,8,0,0,3,6,6,7,8,6,4,7,0,9,7,6,9,4,5,4,8,3,6,7,9,1,6,1,9,0,6,3,7,2,
%T A198875 4,8,2,4,2,2,3,7,7,1,9,1,5,0,0,4,5,3,3,4,5,9,2,0,4,8,4,6,2,5,5,0,1,0,
%U A198875 1,5,5,1,5,8,5,1,4,3,4,7,6,9,6,1,2,0,5,8,8,8,1,0,9,9,6,7,9,0,1
%N A198875 Decimal expansion of x>0 satisfying 2*x^2-2*cos(x)=-1.
%C A198875 See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%H A198875 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198875 0.580036678647097694548367916190637248242237...
%t A198875 a = 2; b = -2; c = -1;
%t A198875 f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t A198875 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t A198875 r = x /. FindRoot[f[x] == g[x], {x, .58, .59}, WorkingPrecision -> 110]
%t A198875 RealDigits[r] (* A198875 *)
%Y A198875 Cf. A198755.
%K A198875 nonn,cons
%O A198875 0,1
%A A198875 _Clark Kimberling_, Oct 31 2011