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.

A201900 Decimal expansion of the number x satisfying x^2+3x+3=e^x.

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%I A201900 #8 Feb 07 2025 16:44:07
%S A201900 3,0,7,7,4,5,4,7,2,9,8,2,6,0,8,8,7,0,5,2,1,7,7,4,2,5,0,8,3,6,7,5,6,3,
%T A201900 7,9,8,8,2,0,7,5,7,4,0,0,8,7,0,6,5,0,9,1,8,7,9,9,5,9,0,9,1,1,8,4,5,4,
%U A201900 2,6,0,8,9,5,1,6,7,4,1,4,6,2,1,2,4,0,4,9,5,6,9,5,8,8,4,5,2,9,3
%N A201900 Decimal expansion of the number x satisfying x^2+3x+3=e^x.
%C A201900 See A201741 for a guide to related sequences. The Mathematica program includes a graph.
%H A201900 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A201900 x=3.077454729826088705217742508367563798820757400...
%t A201900 a = 1; b = 3; c = 3;
%t A201900 f[x_] := a*x^2 + b*x + c; g[x_] := E^x
%t A201900 Plot[{f[x], g[x]}, {x, -3, 3.3}, {AxesOrigin -> {0, 0}}]
%t A201900 r = x /. FindRoot[f[x] == g[x], {x, 3.0, 3.1}, WorkingPrecision -> 110]
%t A201900 RealDigits[r]     (* A201900 *)
%Y A201900 Cf. A201741.
%K A201900 nonn,cons
%O A201900 1,1
%A A201900 _Clark Kimberling_, Dec 06 2011