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A255322 a(n) = Product_{k=0..n} (k^2)!. 10
1, 1, 24, 8709120, 182219087869378560000, 2826438545846116156142906806150103040000000000, 1051416277636507481568264360276689674557030810000137484550133942059008000000000000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Partial products of A088020. - Michel Marcus, Jul 06 2019

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..12

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}]

PROG

(PARI) {a(n) = prod(k=1, n, (k^2)!)} \\ Seiichi Manyama, Jul 06 2019

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 * A319900 A172803 A141643

Adjacent sequences:  A255319 A255320 A255321 * A255323 A255324 A255325

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Feb 21 2015

STATUS

approved

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Last modified October 23 20:14 EDT 2019. Contains 328373 sequences. (Running on oeis4.)