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.
%I A071599 #19 May 17 2025 03:11:11
%S A071599 2,8,24,216,4320,19008,103488,1292544,1548288,3264307200,24710676480,
%T A071599 54623600640,16562257920,3345695539200,8216950210560,
%U A071599 33673108783104000,205682009702400000,15655109317676236800,12302792042521559040000
%N A071599 Product of elements in the simple continued fraction for (1+1/n)^n.
%C A071599 It appears that lim_{n->oo} a(n)^(1/A069887(n)) = A002210 (Khinchin constant = 2.68...). - _Benoit Cloitre_, Jan 29 2006
%H A071599 Harvey P. Dale, <a href="/A071599/b071599.txt">Table of n, a(n) for n = 1..449</a>
%e A071599 The continued fraction for (1+1/5)^5 is [2, 2, 20, 1, 9, 2, 3] and 2*2*20*1*9*2*3=4320 hence a(5)=4320
%t A071599 Table[Times@@ContinuedFraction[(1+1/n)^n],{n,20}] (* _Harvey P. Dale_, May 02 2019 *)
%o A071599 (PARI) a(n) = prod(i=1, length(contfrac((1+1/n)^n)), component(contfrac((1+1/n)^n), i));
%K A071599 easy,nonn
%O A071599 1,1
%A A071599 _Benoit Cloitre_, Jun 01 2002