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 A031600 Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 12. 0

%I #16 Aug 18 2021 00:43:11

%S 1049,3217,3445,5021,6569,8506,8689,11314,11738,11953,14285,16825,

%T 17341,18397,20129,20693,21554,22138,22433,22826,23729,24034,24341,

%U 24961,25274,25589,26546,29629,30313,31817,33965,35437,35930,36682,37061,38210

%N Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 12.

%e CF(sqrt(145)) = (12, (24)), therefore 145 is not in the sequence.

%e CF(sqrt(1049)) = (32, (2,1,1,2,1,4,3,1,5,7,1,12, 12,1,7,5,1,3,4,1,2,1,1,2, 64)), therefore 1049 is in the sequence.

%K nonn

%O 1,1

%A _David W. Wilson_

%E First term 145 removed by _Georg Fischer_, Jun 15 2019

%E Definition clarified by _N. J. A. Sloane_, Aug 18 2021

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Last modified August 14 21:44 EDT 2024. Contains 375167 sequences. (Running on oeis4.)