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A031697 Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 19. 1

%I #21 Jul 15 2021 01:45:55

%S 363,1448,3255,5784,9035,13008,17703,23120,29259,36120,43703,52008,

%T 61035,70784,81255,92448,104363,117000,130359,137680,144440,152920,

%U 159243,174768,191015,207984,225675,244088,263223,283080,303659,314780,324960

%N Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 19.

%C (19*m)^2 + 2*m for m >= 1 are terms of this sequence (see comment in A031749). The first term that is not of this form is a(20) = 137680. - _Chai Wah Wu_, Jun 19 2016

%H Charles R Greathouse IV, <a href="/A031697/b031697.txt">Table of n, a(n) for n = 1..10000</a> (first 60 terms from Vincenzo Librandi)

%t Select[Range[350000],!IntegerQ[Sqrt[#]] &&Min[ContinuedFraction[Sqrt[#]][[2]]] == 19&](* _Vincenzo Librandi_, Feb 10 2012 *)

%K nonn

%O 1,1

%A _David W. Wilson_

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Last modified April 18 13:50 EDT 2024. Contains 371780 sequences. (Running on oeis4.)