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A058067 Number of polynomial functions from Z to Z/nZ. 1
1, 1, 4, 27, 64, 3125, 108, 823543, 1024, 19683, 12500, 285311670611, 1728, 302875106592253, 3294172, 84375, 65536, 827240261886336764177, 78732, 1978419655660313589123979, 200000, 22235661, 1141246682444, 20880467999847912034355032910567 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

REFERENCES

M. Bhargava, The factorial function and generalizations, Amer. Math. Monthly, 107 (Nov. 2000), 783-799.

FORMULA

Product (n/gcd(n, k!), k=0..n-1).

Multiplicative with a(p^e) = p^t_p(e). - David W. Wilson, Aug 14 2005

MAPLE

A058067 := n->mul(n/gcd(n, k!), k=0..n-1);

CROSSREFS

Sequence in context: A141091 A186882 A097792 * A175701 A158186 A054412

Adjacent sequences:  A058064 A058065 A058066 * A058068 A058069 A058070

KEYWORD

nonn,mult

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Nov 24 2000

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Last modified February 16 20:35 EST 2012. Contains 205962 sequences.