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, 308403583488000, 10237090866494416404480000, 18047991197629656121098240000, 84598219898073388103041980140802932736000000, 202530058448898356766553925842537379148694764295442525475852779520000000000

Offset

1,1

Links

Table of n, a(n) for n=1..9.

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

Original a(5) restored and more terms from Sean A. Irvine, May 27 2025

Status

approved