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%I #10 May 06 2022 07:35:11
%S 2,4,3,3,20,16,11,34,18,128,56,168,39,21,162,116,37,113,72,105,73,245,
%T 244,74,159,187,253,663,101,166,34,41,87,71,46,449,181,1874,130,215,
%U 457,317,196,256,160,107,72,147,209,114,2632,134,252,844,1285,341,656
%N Maximum element in the simple continued fraction expansion for (1+1/n)^n.
%C Limit_{n -> infinity} (1+1/n)^n = e.
%H Amiram Eldar, <a href="/A069655/b069655.txt">Table of n, a(n) for n = 1..10000</a>
%e The simple continued fraction expansion of (1+1/10)^10 is [2, 1, 1, 2, 5, 1, 128, 1, 2, 12, 5, 3, 46, 1, 11, 7], hence a(10) = 128.
%t Table[ Max[ ContinuedFraction[ (1 + 1/n)^n]], {n, 1, 60}]
%Y Cf. A001113, A069887.
%K easy,nonn
%O 1,1
%A _Benoit Cloitre_, May 09 2002
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