A071112 Smallest k such that the number of elements in the continued fraction for (1+1/k)^k is >= n.

1, 2, 3, 3, 3, 4, 4, 6, 6, 6, 7, 7, 7, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 15, 15, 17, 17, 17, 17, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 21, 21, 23, 23, 23, 23, 23, 23, 23, 26, 26, 26, 26, 28, 28, 28, 28, 28, 28, 28

Offset

1,2

Links

Table of n, a(n) for n=1..77.

Prog

(PARI) s=1; for(n=1, 160, while(length(contfrac((1+1/s)^s))<n, s++); print1(s, ", "))

Crossrefs

Sequence in context: A350812 A181550 A134841 * A097087 A153161 A346373

Adjacent sequences: A071109 A071110 A071111 * A071113 A071114 A071115

Keyword

easy,nonn

Author

Benoit Cloitre, May 27 2002

Status

approved