

A031702


Numbers n such that least term in period of continued fraction for sqrt(n) is 24.


1



145, 578, 1299, 2308, 3605, 5190, 7063, 9224, 11673, 14410, 17435, 20748, 24349, 28238, 32415, 36880, 41633, 46674, 52003, 57620, 63525, 69718, 76199, 82968, 90025, 97370, 97994, 105003, 112924, 121133, 129630, 138415, 147488, 156849, 166498
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OFFSET

1,1


LINKS

Chai Wah Wu, Table of n, a(n) for n = 1..10000


EXAMPLE

The continued fraction of sqrt(97994) is 313, [25, 24, 25, 626], where the smallest element of the period is 24, so 97994 belongs in the sequence.


MATHEMATICA

Select[Range[200000], !IntegerQ[Sqrt[#]] && Min[ContinuedFraction[Sqrt[#]][[2]]] == 24&] (* Vincenzo Librandi, Feb 06 2012 *)


PROG

(Python)
from sympy import continued_fraction_periodic
A031702_list = [n for n, s in ((i, continued_fraction_periodic(0, 1, i)[1]) for i in range(1, 10**5)) if isinstance(s, list) and min(s) == 24] # Chai Wah Wu, Jun 08 2017


CROSSREFS

Sequence in context: A207058 A116208 A211470 * A031600 A269015 A234116
Adjacent sequences: A031699 A031700 A031701 * A031703 A031704 A031705


KEYWORD

nonn


AUTHOR

David W. Wilson


STATUS

approved



