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A240023 Product of factorials of prime divisors of n (with multiplicity). 1
1, 2, 6, 4, 120, 12, 5040, 8, 36, 240, 39916800, 24, 6227020800, 10080, 720, 16, 355687428096000, 72, 121645100408832000, 480, 30240, 79833600, 25852016738884976640000, 48, 14400, 12454041600, 216, 20160, 8841761993739701954543616000000, 1440 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..300

Index to divisibility sequences

FORMULA

Completely multiplicative with a(p) = p!.

MAPLE

a:= n-> mul(i[1]!^i[2], i=ifactors(n)[2]):

seq(a(n), n=1..30);  # Alois P. Heinz, Mar 30 2014

PROG

(PARI) a(n)=local(fm=factor(n)); prod(k=1, matsize(fm)[1], fm[k, 1]!^fm[k, 2])

CROSSREFS

Sequence in context: A210420 A306585 A118138 * A004583 A175995 A271533

Adjacent sequences:  A240020 A240021 A240022 * A240024 A240025 A240026

KEYWORD

nonn,mult

AUTHOR

Franklin T. Adams-Watters, Mar 30 2014

STATUS

approved

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Last modified October 16 20:55 EDT 2019. Contains 328103 sequences. (Running on oeis4.)