cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A125652 Numbers m such that m^2=A125650(k) for some k (belonging A125651).

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%I A125652 #6 Mar 31 2012 13:20:34
%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_, 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_, 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.
%K A125652 nonn
%O A125652 1,2
%A A125652 _Alexander Adamchuk_, Nov 29 2006, corrected Dec 14 2006
%E A125652 Edited by _Max Alekseyev_, Jan 11 2007