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A071113
Numbers k such that the number of terms in the continued fraction for (1 + 1/x)^x equals k for some x.
0
1, 2, 5, 7, 10, 14, 16, 20, 24, 29, 39, 40, 42, 44, 46, 55, 57, 59, 66, 68, 70, 81, 86, 91, 106, 108, 109, 117, 118, 119, 120, 123, 124, 133, 142, 147, 155, 159, 163, 164, 167, 168, 171, 176, 177, 198, 201, 205, 206, 213, 217, 226, 227, 228, 229, 233, 238, 246
OFFSET
1,2
COMMENTS
It appears that lim_{n -> infinity} a(n)/(n*log(n)) = 1. - Benoit Cloitre, Jan 29 2006
PROG
(PARI) for(n=1, 300, if(sum(i=1, n, if(length(contfrac((1+1/i)^i))-n, 0, 1))>0, print1(n, ", ")))
CROSSREFS
Sequence in context: A241510 A088947 A288209 * A071704 A267374 A267379
KEYWORD
easy,nonn
AUTHOR
Benoit Cloitre, May 27 2002
STATUS
approved