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A255322 Product_{k=0..n} (k^2)!. 8
1, 1, 24, 8709120, 182219087869378560000, 2826438545846116156142906806150103040000000000, 1051416277636507481568264360276689674557030810000137484550133942059008000000000000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..6.

FORMULA

a(n) ~ c * n^((2*n + 1)*(2*n^2 + 2*n + 3)/6) * (2*Pi)^(n/2) / exp(5*n^3/9 + n^2/2 + n), where c = A255504 = 3.048330306522348566911920417337613015885313475... .

MATHEMATICA

Table[Product[(k^2)!, {k, 0, n}], {n, 0, 10}]

CROSSREFS

Cf. A000178, A255358, A255359, A255360.

Cf. A002109, A051675, A255321, A255323, A255344.

Cf. A000142, A255268, A255269, A255504.

Cf. A272094.

Sequence in context: A159191 A013820 A294326 * A172803 A141643 A275026

Adjacent sequences:  A255319 A255320 A255321 * A255323 A255324 A255325

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Feb 21 2015

STATUS

approved

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Last modified February 24 18:24 EST 2018. Contains 299628 sequences. (Running on oeis4.)