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A255358 Product_{k=0..n} (k^3)!. 7
1, 1, 40320, 439039216240867959122165760000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

The next term a(4) has 122 digits.

LINKS

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

FORMULA

a(n) ~ c * n^(29/40 + 3*n/2 + 3*n^2/4 + 3*n^3/2 + 3*n^4/4) * (2*Pi)^(n/2) / exp(n*(n+2)*(12 - 6*n + 7*n^2)/16), where c = A255511 = 4.113740552015338123052453340090368136...

MATHEMATICA

Table[Product[(k^3)!, {k, 0, n}], {n, 0, 10}]

CROSSREFS

Cf. A000178, A255322, A255359, A255360.

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

Cf. A000142, A255268, A255269, A255511.

Sequence in context: A259113 A195392 A172632 * A229675 A250905 A250949

Adjacent sequences:  A255355 A255356 A255357 * A255359 A255360 A255361

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Feb 21 2015

STATUS

approved

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Last modified February 21 21:41 EST 2018. Contains 299427 sequences. (Running on oeis4.)