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A233423 Values of n at which the period of the continued fraction for sqrt(n) is nondecreasing. 0
1, 2, 3, 6, 7, 13, 19, 21, 22, 31, 43, 46, 76, 94, 124, 133, 139, 151, 166, 211, 214, 244, 301, 309, 331, 421, 526, 571, 604, 631, 751, 886, 919, 991, 1279, 1291, 1324, 1366, 1516, 1621, 1726, 2011, 2311, 2566, 2671, 3004, 3019, 3259, 3334, 3691, 3931, 4174 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..52.

MATHEMATICA

t = {1}; mx = 0; n = 1; While[Length[t] < 60, n++; If[! IntegerQ[Sqrt[n]], len = Length[ContinuedFraction[Sqrt[n]][[2]]]; If[len >= mx, AppendTo[t, n]; mx = len]]]; t (* T. D. Noe, Dec 10 2013 *)

CROSSREFS

Superset of A013645.

Sequence in context: A304709 A183558 A294916 * A256800 A172105 A092482

Adjacent sequences:  A233420 A233421 A233422 * A233424 A233425 A233426

KEYWORD

nonn

AUTHOR

David Spies, Dec 09 2013

EXTENSIONS

Extended by T. D. Noe, Dec 10 2013

STATUS

approved

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Last modified June 24 05:21 EDT 2019. Contains 324318 sequences. (Running on oeis4.)