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A280420 Product of divisors of n!. 1
1, 1, 2, 36, 331776, 42998169600000000, 7244150201408990671659859968000000000000000, 1182813011613388022005884215741990164001544397058025540221953280041975323323006976000000000000000000000000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Matthew Campbell, Table of n, a(n) for n = 0..10

FORMULA

a(n) = A007955(A000142(n)).

a(n) = (n!)^(d(n!)/2) = (A000142(n)!)^(A007955(A000142(n))/2).

MAPLE

A280420 := proc(n)

    mul(d, d=numtheory[divisors](n!)) ;

end proc: # R. J. Mathar, Jan 04 2017

MATHEMATICA

Table[(n!)^(DivisorSigma[0, n!]/2), {n, 0, 10}]

CROSSREFS

Cf. A007955, A007955.

Sequence in context: A181555 A306644 A283261 * A051459 A073581 A078081

Adjacent sequences:  A280417 A280418 A280419 * A280421 A280422 A280423

KEYWORD

nonn

AUTHOR

Matthew Campbell, Jan 02 2017

STATUS

approved

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Last modified August 14 10:47 EDT 2020. Contains 336480 sequences. (Running on oeis4.)