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.

A190951 Closest integer to the largest real number x such that exp(x) = x^n, for n>=3.

This page as a plain text file.
%I A190951 #9 Mar 31 2012 10:28:52
%S A190951 5,9,13,17,21,26,31,36,41,46,51,56,62,67,73,79,84,90,96,102,108,114,
%T A190951 120,126,132,138,144,150,157,163,169,176,182,189,195,202,208,215,221,
%U A190951 228,235,241,248,255,262,268,275,282,289,296,303,310,317,324,331,338,345,352
%N A190951 Closest integer to the largest real number x such that exp(x) = x^n, for n>=3.
%C A190951 n=3 is the starting index because exp(x) > x^n for all x>=0 when n=1,2.
%t A190951 a[n_] := Round[ E^-ProductLog[-1, -1/n]]; Table[a[n], {n, 3, 60}]
%Y A190951 Cf. A088346 (Smallest integer k where exp(x)>x^n for all x>=k).
%Y A190951 Cf. A190952 (Largest integer k for which exp(k) < k^n).
%K A190951 nonn
%O A190951 3,1
%A A190951 _Shel Kaphan_, May 23 2011