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.

A198505 Decimal expansion of x>0 having 4*x^2+x=2*sin(x).

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%I A198505 #8 Apr 23 2025 12:36:59
%S A198505 2,4,5,0,1,2,4,0,4,2,4,6,2,6,1,5,0,1,4,0,8,2,4,5,3,0,6,8,3,6,8,1,1,1,
%T A198505 3,4,4,4,2,8,1,5,6,5,1,3,8,6,8,0,1,2,4,2,1,1,1,7,9,6,5,5,0,9,7,9,7,6,
%U A198505 9,6,1,0,7,0,8,2,5,0,3,5,0,0,0,3,5,8,1,9,7,3,1,8,4,6,6,4,6,9,2
%N A198505 Decimal expansion of x>0 having 4*x^2+x=2*sin(x).
%C A198505 See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%H A198505 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198505 0.24501240424626150140824530683681113444...
%t A198505 a = 4; b = 1; c = 2;
%t A198505 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t A198505 Plot[{f[x], g[x]}, {x, -.2, .4}]
%t A198505 r = x /. FindRoot[f[x] == g[x], {x, .24, .25}, WorkingPrecision -> 110]
%t A198505 RealDigits[r] (* A198505 *)
%Y A198505 Cf. A198414.
%K A198505 nonn,cons
%O A198505 0,1
%A A198505 _Clark Kimberling_, Oct 25 2011