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.

A198555 Decimal expansion of x>0 having 4*x^2-x=2*sin(x).

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%I A198555 #8 Apr 23 2025 12:41:24
%S A198555 7,0,9,1,3,5,0,9,3,6,6,7,6,4,5,1,3,1,2,9,5,7,2,8,3,5,8,3,3,3,5,1,4,5,
%T A198555 4,8,6,1,4,1,2,7,2,4,2,7,4,7,2,9,7,0,9,8,5,1,7,3,2,7,6,1,5,4,1,6,6,1,
%U A198555 7,2,8,1,2,4,3,7,6,4,6,3,9,5,0,3,0,0,4,9,1,5,7,0,7,2,9,4,0,8,3
%N A198555 Decimal expansion of x>0 having 4*x^2-x=2*sin(x).
%C A198555 See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%H A198555 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198555 0.70913509366764513129572835833351454861412...
%t A198555 a = 4; b = -1; c = 2;
%t A198555 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t A198555 Plot[{f[x], g[x]}, {x, -.1, 1}]
%t A198555 r = x /. FindRoot[f[x] == g[x], {x, .70, .71}, WorkingPrecision -> 110]
%t A198555 RealDigits[r] (* A198555 *)
%Y A198555 Cf. A198414.
%K A198555 nonn,cons
%O A198555 0,1
%A A198555 _Clark Kimberling_, Oct 26 2011