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%I #49 Jul 15 2021 01:50:06
%S 257,1026,2307,4100,6405,9222,12551,16392,20745,25610,30987,36876,
%T 43277,50190,57615,65552,74001,82962,92435,102420,112917,123926,
%U 135447,147480,160025,173082,186651,200732,215325,230430,246047,262176,278817,295970
%N Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 32.
%C The continued fraction expansion of sqrt((k*m)^2+t*m) for m >= 1 where t divides 2*k has the form [k*m, 2*k/t, 2*k*m, 2*k/t, 2*k*m, ...]. Thus numbers of the form (16*m)^2 + m for m >= 1 are in the sequence. Are there any others? - _Chai Wah Wu_, Jun 18 2016
%C The term 297058 is not of the form (16*m)^2 + m. - _Chai Wah Wu_, Jun 19 2016
%H Charles R Greathouse IV, <a href="/A031710/b031710.txt">Table of n, a(n) for n = 1..10000</a> (first 209 terms from Vincenzo Librandi)
%t Select[Range[10^4], !IntegerQ[Sqrt[#]] && Min[ContinuedFraction[Sqrt[#]][[2]]] == 32 &] (* _Vincenzo Librandi_, Jun 20 2016 *)
%Y Cf. A076338.
%K nonn
%O 1,1
%A _David W. Wilson_
%E Edited by _Charles R Greathouse IV_, Aug 09 2010
%E Incorrect formula and comment removed by _Vincenzo Librandi_, Jan 09 2012
%E a(34) from _Charles R Greathouse IV_, Aug 02 2017
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