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.

A201748 Decimal expansion of the number x satisfying x^2+9=e^x.

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%I A201748 #8 Feb 07 2025 16:44:07
%S A201748 2,8,3,5,6,0,0,5,0,6,0,3,5,9,7,9,9,6,7,6,2,5,3,5,9,1,9,5,8,7,6,2,7,1,
%T A201748 6,0,8,5,3,2,8,0,8,5,4,2,5,0,4,3,9,0,4,1,0,9,0,6,1,5,4,4,8,1,6,2,3,9,
%U A201748 8,9,1,1,3,9,8,7,6,5,2,0,1,1,0,3,6,0,4,1,9,6,7,3,2,8,2,2,1,6,5
%N A201748 Decimal expansion of the number x satisfying x^2+9=e^x.
%C A201748 See A201741 for a guide to related sequences. The Mathematica program includes a graph.
%H A201748 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A201748 x=2.8356005060359799676253591958762716085328...
%t A201748 a = 1; b = 0; c = 9;
%t A201748 f[x_] := a*x^2 + b*x + c; g[x_] := E^x
%t A201748 Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
%t A201748 r = x /. FindRoot[f[x] == g[x], {x, 2.8, 2.9}, WorkingPrecision -> 110]
%t A201748 RealDigits[r]   (* A201748 *)
%Y A201748 Cf. A201741.
%K A201748 nonn,cons
%O A201748 1,1
%A A201748 _Clark Kimberling_, Dec 05 2011