

A077540


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 nth triangular number.


2



2, 120, 5040, 5765760, 39070080, 5967561600, 66902793897139200, 14792260407724800, 106137499051584000, 195333707771834926694400, 131478134374795266938880000, 912197279957973412118937661440000
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OFFSET

1,1


LINKS



EXAMPLE

a(3) = 5040 = 7*8*9*10 as 7*8*9 is not divisible by 4*5*6.


CROSSREFS



KEYWORD

nonn


AUTHOR



EXTENSIONS



STATUS

approved



