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.

A198877 Decimal expansion of x>0 satisfying 2*x^2-3*cos(x)=-2.

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%I A198877 #12 Feb 07 2025 19:48:43
%S A198877 5,3,7,2,7,2,4,7,4,7,7,2,1,2,4,6,4,5,3,7,2,0,5,1,5,0,8,5,1,2,5,3,0,2,
%T A198877 4,2,2,8,6,3,8,0,6,0,7,0,4,1,1,1,8,7,6,1,9,3,8,4,3,2,3,8,9,5,0,6,3,1,
%U A198877 3,5,7,8,7,0,9,3,5,8,7,1,8,9,2,4,4,3,7,8,5,2,0,1,1,0,8,0,2,3,2
%N A198877 Decimal expansion of x>0 satisfying 2*x^2-3*cos(x)=-2.
%C A198877 See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%H A198877 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198877 0.537272474772124645372051508512530242286...
%t A198877 a = 2; b = -3; c = -2;
%t A198877 f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t A198877 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t A198877 r = x /. FindRoot[f[x] == g[x], {x, .53, .54}, WorkingPrecision -> 110]
%t A198877 RealDigits[r] (* A198877 *)
%Y A198877 Cf. A198755.
%K A198877 nonn,cons
%O A198877 0,1
%A A198877 _Clark Kimberling_, Oct 31 2011