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The nondivisorial of is the product of nondivisors of (product of all positive integers up to which are not factors of ).
By analogy with phi-torial (phitorial) for coprimorial, might be called co-tau-torial of ( co-tau-torial) or co-tautorial of ( co-tautorial) since the product involves numbers, where is the number of nondivisors of .
Formulae
Thus the nondivisorial of is
where is the number of nondivisors of and is the Iverson bracket.
The following identity holds
where is the number of divisors of .
Properties
...
Sequences
A055067 Product of numbers < which do not divide , ≥ 1, (or 1 if no such numbers).
- {1, 1, 2, 3, 24, 20, 720, 630, 13440, 36288, 3628800, 277200, 479001600, 444787200, 5811886080, 20432412000, 20922789888000, 1097800704000, 6402373705728000, 304112751022080, ...}
See also