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 n-th triangular number.

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

Offset

1,1

Links

Table of n, a(n) for n=1..12.

Example

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

Crossrefs

Cf. A077541, A077542.

Sequence in context: A360607 A157069 A362459 * A272180 A187880 A331500

Adjacent sequences: A077537 A077538 A077539 * A077541 A077542 A077543

Keyword

nonn

Author

Amarnath Murthy, Nov 09 2002

Extensions

Corrected and extended by Ray Chandler, Aug 23 2003

Status

approved