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.

A198576 Decimal expansion of x > 0 satisfying 4*x^2-3*x = 4*sin(x).

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%I A198576 #14 Apr 23 2025 12:47:13
%S A198576 1,4,3,8,9,2,8,0,8,7,7,2,6,5,9,7,5,5,5,0,1,0,4,7,7,7,9,9,0,0,1,5,2,7,
%T A198576 9,9,9,5,4,8,2,0,5,2,7,9,5,3,8,2,7,1,2,6,2,9,7,9,9,0,4,4,2,8,5,9,1,6,
%U A198576 1,0,8,7,4,5,1,1,0,3,3,4,3,9,3,1,3,0,5,8,8,7,1,2,8,7,8,8,7,7,2,2,8,9,5,5
%N A198576 Decimal expansion of x > 0 satisfying 4*x^2-3*x = 4*sin(x).
%C A198576 See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%H A198576 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198576 1.43892808772659755501047779900152799954820527953...
%t A198576 a = 4; b = -3; c = 4;
%t A198576 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t A198576 Plot[{f[x], g[x]}, {x, -.2, 1.5}]
%t A198576 r = x /. FindRoot[f[x] == g[x], {x, 1.43, 1.44}, WorkingPrecision -> 110]
%t A198576 RealDigits[r] (* A198576 *)
%Y A198576 Cf. A198414.
%K A198576 nonn,cons
%O A198576 1,2
%A A198576 _Clark Kimberling_, Oct 27 2011
%E A198576 a(98) onwards corrected by _Georg Fischer_, Aug 01 2021