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A272241 a(n) = Product_{k=0..n} ((n^2 + k)! / (n^2 - k)!). 3
1, 2, 7200, 474211584000, 1981999450972492922880000, 1401219961854040654113268364083200000000000, 370389015130516478011776928922387124162707119541939129548800000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The next term has 95 digits.

LINKS

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

FORMULA

a(n) = A272238(n) / A272164(n).

a(n) ~ exp(5/12) * n^(2*n*(n+1)).

MATHEMATICA

Table[Product[(n^2+k)!/(n^2-k)!, {k, 0, n}], {n, 0, 7}]

Table[BarnesG[n^2 - n + 1]*BarnesG[n^2 + n + 2]/(BarnesG[n^2 + 2]*BarnesG[n^2 + 1]), {n, 0, 6}]

CROSSREFS

Cf. A103207, A272164, A272238.

Sequence in context: A129057 A201508 A322126 * A171939 A104904 A272247

Adjacent sequences:  A272238 A272239 A272240 * A272242 A272243 A272244

KEYWORD

nonn,easy

AUTHOR

Vaclav Kotesovec, Apr 23 2016

STATUS

approved

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Last modified January 26 13:09 EST 2022. Contains 350598 sequences. (Running on oeis4.)