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First n-fold perfect number divided by 14182439040, or 0 if the quotient is not an integer.
6

%I #9 Jul 30 2013 16:43:54

%S 0,0,0,0,1,0,9963793783910270786529635084437882643939328000

%N First n-fold perfect number divided by 14182439040, or 0 if the quotient is not an integer.

%C The first n-fold perfect numbers are A007539(n) = 1, 6, 120, 30240, 14182439040, .., for n = 1, 2, 3, 4, 5, ...

%C For additional comments, references, links, and cross-refs, see A007539 and A227765.

%H T. D. Noe, <a href="/A227768/b227768.txt">Table of n, a(n) for n = 1..8</a>

%F a(n) = A007539(n)/14182439040 for n = 5, 7, 8.

%e The first 6-fold perfect number is A007539(6) = 154345556085770649600, and 154345556085770649600/14182439040 = 119711504640/11 is not an integer, so a(6) = 0.

%Y Cf. A007539, A227765, A227766, A227767, A227769.

%K nonn

%O 1,7

%A _Jonathan Sondow_, Jul 29 2013