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A089642 Numbers m such that there is a single k, 1 <= k <= m, such that the number of elements in the continued fraction for m/k is maximum. 1
1, 3, 4, 5, 8, 12, 13, 15, 21, 30, 34, 39, 40, 42, 48, 55, 56, 65, 72, 74, 80, 89, 102, 110, 130, 144, 168, 170, 176, 180, 185, 193, 194, 208, 233, 272, 275, 288, 297, 299, 312, 336, 340, 377, 400, 445, 456, 468, 517, 546, 550, 610, 638, 699, 715, 720, 754, 777 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Except for 2, all Fibonacci numbers are in the sequence.

LINKS

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

PROG

(PARI) for(n=1, 330, if(sum(s=1, n, if(length(contfrac(n/s))-vecmax(vector(n, i, length(contfrac(n/i)))), 0, 1))==1, print1(n, ", ")))

CROSSREFS

Cf. A000045, A084242.

Sequence in context: A039881 A035113 A106263 * A327182 A030403 A034403

Adjacent sequences:  A089639 A089640 A089641 * A089643 A089644 A089645

KEYWORD

nonn

AUTHOR

Benoit Cloitre, Jan 01 2004

EXTENSIONS

More terms from Jinyuan Wang, Apr 06 2020

STATUS

approved

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Last modified October 25 09:51 EDT 2021. Contains 348239 sequences. (Running on oeis4.)