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A226858 Numbers n such that there are six distinct triples (k, k+n, k+2n) of squares. 1

%I #18 Sep 07 2013 09:46:32

%S 258594336000,1034377344000,2327349024000,4137509376000,6464858400000,

%T 9309396096000,12671122464000,16550037504000,20946141216000,

%U 25859433600000

%N Numbers n such that there are six distinct triples (k, k+n, k+2n) of squares.

%C For the first 10 terms we have a(n) = n^2 * a(1). Are there any other primitive terms other than a(1)?

%e These 6 triples have a common difference of 9309396096000: (579774^2, 3105726^2, 4353726^2), (781560^2, 3149640^2, 4385160^2), (2241720^2, 3786120^2, 4862520^2), (4187880^2, 5181480^2, 6013080^2), (9320040^2, 9806760^2, 10270440^2), and (10273140^2, 10716660^2, 11142540^2).

%Y Cf. A198387, A222154, A222155, A214155, A226954.

%K nonn,more

%O 1,1

%A _Zdenek Cervenka_, Jun 20 2013

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