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.

A198878 Decimal expansion of x>0 satisfying 2*x^2-3*cos(x)=-1.

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%I A198878 #8 Feb 07 2025 17:48:32
%S A198878 7,6,3,7,7,2,2,7,4,9,0,1,1,1,9,0,5,0,1,1,0,5,5,9,8,8,5,9,2,8,2,8,3,1,
%T A198878 4,5,4,9,7,3,6,5,0,3,4,6,2,0,7,4,5,4,9,8,2,2,6,2,1,7,2,5,0,8,5,8,9,6,
%U A198878 3,1,5,6,5,0,0,5,3,6,7,6,2,7,2,0,9,5,6,3,6,4,0,1,5,0,4,5,1,6,4
%N A198878 Decimal expansion of x>0 satisfying 2*x^2-3*cos(x)=-1.
%C A198878 See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%H A198878 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198878 0.76377227490111905011055988592828314549736...
%t A198878 a = 2; b = -3; c = -1;
%t A198878 f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t A198878 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t A198878 r = x /. FindRoot[f[x] == g[x], {x, .76, .77}, WorkingPrecision -> 110]
%t A198878 RealDigits[r] (* A198878 *)
%Y A198878 Cf. A198755.
%K A198878 nonn,cons
%O A198878 0,1
%A A198878 _Clark Kimberling_, Oct 31 2011