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%I #5 Dec 05 2013 19:55:53
%S 2,120,5040,5765760,39070080,5967561600,66902793897139200,
%T 14792260407724800,106137499051584000,195333707771834926694400,
%U 131478134374795266938880000,912197279957973412118937661440000
%N a(n) = smallest multiple of the product of next n natural numbers which is a product of consecutive numbers starting with (k+1) where k = n(n+1)/2 = the n-th triangular number.
%e a(3) = 5040 = 7*8*9*10 as 7*8*9 is not divisible by 4*5*6.
%Y Cf. A077541, A077542.
%K nonn
%O 1,1
%A _Amarnath Murthy_, Nov 09 2002
%E Corrected and extended by _Ray Chandler_, Aug 23 2003
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