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.

A198757 Decimal expansion of x>0 satisfying x^2+cos(x)=4.

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%I A198757 #8 Feb 07 2025 16:44:05
%S A198757 2,1,2,8,1,2,6,4,6,5,6,8,4,9,2,2,4,8,7,6,5,2,4,6,8,7,9,4,9,8,3,7,9,9,
%T A198757 1,6,8,7,8,0,9,2,8,5,3,5,0,6,7,8,4,2,3,6,7,6,4,1,1,3,0,9,6,6,3,2,8,4,
%U A198757 3,7,0,2,2,9,8,8,7,0,2,6,3,1,0,4,7,9,5,4,3,3,1,1,1,5,2,5,6,1,4
%N A198757 Decimal expansion of x>0 satisfying x^2+cos(x)=4.
%C A198757 See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%H A198757 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198757 2.128126465684922487652468794983799168780928...
%t A198757 a = 1; b = 1; c = 4;
%t A198757 f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t A198757 Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
%t A198757 r = x /. FindRoot[f[x] == g[x], {x, 2.1, 2.2}, WorkingPrecision -> 110]
%t A198757 RealDigits[r]   (* A198757 *)
%Y A198757 Cf. A198755.
%K A198757 nonn,cons
%O A198757 1,1
%A A198757 _Clark Kimberling_, Oct 30 2011