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A097023 Numbers n such that the sum of the divisors of 2*n^2 is a square. 7

%I #12 Oct 15 2013 22:32:33

%S 313,335,2612,2817,3015,3820,23508,34380,36647,38193,42217,50281,

%T 64972,73535,96404,103180,155991,265364,325847,329823,379953,397068,

%U 452529,476545,584748,624748,661815,668660,867636,928620

%N Numbers n such that the sum of the divisors of 2*n^2 is a square.

%H Donovan Johnson, <a href="/A097023/b097023.txt">Table of n, a(n) for n = 1..200</a>

%e sigma[2*313^2]=543^2

%t Select[Range[950000],IntegerQ[Sqrt[DivisorSigma[1,2#^2]]]&] (* _Harvey P. Dale_, Jul 10 2012 *)

%Y Cf. A008847, A000203, A097024.

%K nonn

%O 1,1

%A _Labos Elemer_, Aug 24 2004

%E Definition clarified by _Harvey P. Dale_, Jul 10 2012

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)