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A057003 Write the natural numbers in groups: 1; 2,3; 4,5,6; 7,8,9,10; ... and multiple the members of each group. 5
1, 6, 120, 5040, 360360, 39070080, 5967561600, 1220096908800, 321570878428800, 106137499051584000, 42873948150095462400, 20803502274492921984000, 11938961126118491232768000, 7998487694738166709923840000 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Each group begins with a triangular number + 1 and proceeds until the next triangular number.

FORMULA

(n (n + 1)/2)!/((n - 1) n /2)!

MATHEMATICA

Table[(n (n + 1)/2)!/((n - 1) n /2)!, {n, 1, 15}]

CROSSREFS

Cf. A006003.

Sequence in context: A196688 A126448 A126446 * A096718 A096720 A009445

Adjacent sequences:  A057000 A057001 A057002 * A057004 A057005 A057006

KEYWORD

nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 09 2000

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Last modified February 15 05:12 EST 2012. Contains 205694 sequences.