Search: id:A125652
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%I A125652
%S A125652 1,3,9,105,306,3567,10395,121173,353124,4116315,11995821,139833537,
%T A125652 407504790,4750223943,13843167039,161367780525,470260174536,
%U A125652 5481754313907,15975002767185,186218278892313,542679833909754
%N A125652 Numbers m such that m^2=A125650(k) for some k (belonging A125651).
%C A125652 Indices k such that a(n)^2=A125650(k) are listed in A125651.
%C A125652 3 divides a(n) for n>1. For n>1 a(n) = 3*A041053(2n-3), where A041053(n) 
               = {1, 1, 2, 3, 32, 35, 67, 102, 1087, 1189, 2276, 3465, ...} Denominators 
               of continued fraction convergents to sqrt(32). - Alexander Adamchuk 
               (alex(AT)kolmogorov.com), Jan 19 2007
%F A125652 a(2k)=A106328(2k); for k>0, a(2k+1)=A106328(2k+1)/2.
%F A125652 a(n) = sqrt(A125650(A125651(n))).
%F A125652 a(n) = 3*A041053(2n-3) for n>1. - Alexander Adamchuk (alex(AT)kolmogorov.com), 
               Jan 19 2007
%e A125652 a(2)=3 because A125650(3)=9=3^2; a(3)=9 because A125650(24)=81=9^2.
%Y A125652 Cf. A125650, A125651, A106328.
%Y A125652 Cf. A041053.
%Y A125652 Sequence in context: A018716 A018725 A135989 this_sequence A018746 A053914 
               A018757
%Y A125652 Adjacent sequences: A125649 A125650 A125651 this_sequence A125653 A125654 
               A125655
%K A125652 nonn
%O A125652 1,2
%A A125652 Alexander Adamchuk (alex(AT)kolmogorov.com), Nov 29 2006, corrected Dec 
               14 2006
%E A125652 Edited by Max Alekseyev (maxale(AT)gmail.com), Jan 11 2007

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