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A057528 5th level factorials: product of first n 4th level factorials. 2
1, 1, 2, 96, 31850496, 2524286414780230533120, 1189172215782988266980141580906985588465965465600000 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

COMMENTS

In general for k-th level factorials a(n) =Product of first n (k-1)-th level factorials =Product[i^C(n-i+k-1,n-i)] over 1<=i<=n

FORMULA

a(n) =a(n-1)*A057527(n) =Product[i^A000292(n-i+4)] over 1<=i<=n

CROSSREFS

Cf. A000142, A000178, A055462, A057527 for first, second, third and fourth level factorials.

Sequence in context: A168442 A091810 A165642 * A164335 A132206 A139884

Adjacent sequences:  A057525 A057526 A057527 * A057529 A057530 A057531

KEYWORD

easy,nonn

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), Sep 02 2000

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Last modified February 13 17:43 EST 2012. Contains 205523 sequences.