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.

A198495 Decimal expansion of x>0 having 2x^2+x=4*sin(x).

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%I A198495 #9 Apr 23 2025 12:33:19
%S A198495 1,1,1,2,3,4,1,7,4,2,4,1,8,4,5,0,0,0,9,5,3,2,1,0,1,6,8,7,5,6,3,7,5,9,
%T A198495 2,9,9,7,8,5,4,3,8,7,0,5,2,7,8,1,4,4,4,7,5,9,2,2,8,4,4,4,0,5,7,8,4,0,
%U A198495 2,2,2,4,7,2,5,6,5,7,9,2,9,6,1,1,1,8,2,5,1,6,4,3,8,7,2,8,2,5,2
%N A198495 Decimal expansion of x>0 having 2x^2+x=4*sin(x).
%C A198495 See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%H A198495 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198495 1.112341742418450009532101687563759299...
%t A198495 a = 2; b = 1; c = 4;
%t A198495 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t A198495 Plot[{f[x], g[x]}, {x, -.2, 1.5}]
%t A198495 r = x /. FindRoot[f[x] == g[x], {x, 1.11, 1.12}, WorkingPrecision -> 110]
%t A198495 RealDigits[r] (* A198495 *)
%Y A198495 Cf. A198414.
%K A198495 nonn,cons
%O A198495 1,4
%A A198495 _Clark Kimberling_, Oct 25 2011