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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
2, 120, 5040, 5765760, 39070080, 5967561600, 66902793897139200, 14792260407724800, 106137499051584000, 195333707771834926694400, 131478134374795266938880000, 912197279957973412118937661440000 (list; graph; refs; listen; history; text; internal format)
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: A102355 A206355 A157069 * A272180 A187880 A024343

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

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Last modified October 17 14:20 EDT 2019. Contains 328113 sequences. (Running on oeis4.)