A089641 Number of k, 1<=k<=n, such that the number of elements in the continued fraction for n/k is maximum.

1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 4, 2, 2, 3, 1, 4, 2, 5, 3, 3, 2, 2, 2, 1, 2, 2, 4, 1, 2, 4, 2, 4, 1, 1, 4, 1, 2, 2, 3, 2, 2, 1, 2, 2, 4, 2, 4, 8, 1, 1, 5, 2, 4, 2, 8, 6, 5, 2, 1, 2, 2, 3, 2, 3, 4, 1, 3, 1, 2, 2, 7, 5, 2, 1, 2, 2, 2, 8, 2, 2, 4, 2, 1, 5, 2, 4, 4, 4, 2, 6, 2, 8, 2, 6, 6, 1, 2, 2, 2

Offset

1,2

Links

Table of n, a(n) for n=1..105.

Prog

(PARI) a(n)=sum(s=1, n, if(length(contfrac(n/s))-vecmax(vector(n, i, length(contfrac(n/i)))), 0, 1))

Crossrefs

Cf. A084242.

Sequence in context: A350239 A268059 A037226 * A086995 A220492 A229873

Adjacent sequences: A089638 A089639 A089640 * A089642 A089643 A089644

Keyword

nonn

Author

Benoit Cloitre, Jan 01 2004

Status

approved