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.

A198816 Decimal expansion of x>0 satisfying x^2-cos(x)=1.

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%I A198816 #10 Feb 07 2025 16:44:05
%S A198816 1,1,7,6,5,0,1,9,3,9,9,0,1,8,3,2,4,0,0,4,4,7,3,7,7,2,6,8,7,3,1,0,4,0,
%T A198816 9,8,6,6,2,3,7,1,2,3,5,8,9,8,1,2,9,2,4,1,4,4,2,8,6,6,0,1,8,4,9,8,5,8,
%U A198816 6,6,3,7,4,4,1,5,1,3,5,9,0,7,3,4,4,9,2,5,5,1,2,1,0,6,8,7,3,8,0
%N A198816 Decimal expansion of x>0 satisfying x^2-cos(x)=1.
%C A198816 See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%H A198816 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198816 1.17650193990183240044737726873104098662371235...
%t A198816 a = 1; b = -1; c = 1;
%t A198816 f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t A198816 Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
%t A198816 r = x /. FindRoot[f[x] == g[x], {x, 1.1, 1.2}, WorkingPrecision -> 110]
%t A198816 RealDigits[r]  (* A198816 *)
%Y A198816 Cf. A198755.
%K A198816 nonn,cons
%O A198816 1,3
%A A198816 _Clark Kimberling_, Oct 30 2011