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 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 (list; graph; refs; listen; history; text; internal format)
 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 * A297732 A296972 A269015 Adjacent sequences:  A031699 A031700 A031701 * A031703 A031704 A031705 KEYWORD nonn AUTHOR STATUS approved

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Last modified May 5 19:23 EDT 2021. Contains 343573 sequences. (Running on oeis4.)