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Search: id:A057527
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| A057527 |
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4th level factorials: product of first n superduperfactorials. |
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+0
3
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| 1, 1, 2, 48, 331776, 79254226206720, 471092427871945743012986880000, 351177419973413722592573060611594181593855426560000000000
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OFFSET
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0,3
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COMMENT
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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
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FORMULA
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a(n) =a(n-1)*A055462(n) =Product[i^A000332(n-i)] over 1<=i<=n
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EXAMPLE
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a(4) =((4!*3!*2!*1!)*(3!*2!*1!)*(2!*1!)*(1!)) * ((3!*2!*1!)*(2!*1!)*(1!)) * ((2!*1!)*(1!)) * ((1!)) =24*6^3*2^6*1^10 =331776
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CROSSREFS
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Cf. A000142, A000178, A055462, A057528 for first, second, third and fifth level factorials.
Sequence in context: A123742 A098694 A137592 this_sequence A166475 A152688 A046873
Adjacent sequences: A057524 A057525 A057526 this_sequence A057528 A057529 A057530
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KEYWORD
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easy,nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Sep 02 2000
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