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A071113 Numbers n such that the number of elements in the continued fraction for (1+1/x)^x equals n 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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

It appears that lim n -> infinity a(n)/(n*Log(n)) = 1 - Benoit Cloitre, Jan 29 2006

LINKS

Table of n, a(n) for n=1..58.

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

Adjacent sequences:  A071110 A071111 A071112 * A071114 A071115 A071116

KEYWORD

easy,nonn

AUTHOR

Benoit Cloitre, May 27 2002

STATUS

approved

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Last modified October 16 18:56 EDT 2019. Contains 328102 sequences. (Running on oeis4.)