superfactorial

The product of the first n factorials (definition by Neil Sloane and Simon Plouffe in 1995). For example:

sf(4) = 1! × 2! × 3! × 4! = 288

The sequence of superfactorials starts (from n = 0) as

1, 1, 2, 12, 288, 34560, 24883200, ...

This idea was extended in 2000 by Henry Bottomley to the superduperfactorial as the product of the first n superfactorials, starting (from n = 0) as

1, 1, 2, 24, 6912, 238878720, 5944066965504000, ...

Related category

• TYPES OF NUMBERS

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