|
|
A368622
|
|
a(n) = Product_{j=1..n, k=1..n} (j^2 + k^2 + n^2).
|
|
5
|
|
|
|
OFFSET
|
0,2
|
|
COMMENTS
|
The limit has a closed form. In Mathematica: Exp[Integrate[Log[x^2 + y^2 + 1], {x,0,1}, {y,0,1}]]. The output is extremely large.
|
|
LINKS
|
|
|
FORMULA
|
Limit_{n->oo} a(n)^(1/(n^2)) / n^2 = exp(Integral_{x=0..1, y=0..1} log(x^2 + y^2 + 1) dy dx) = 1.6143980185761253961882683158432481977126507900460725431661...
|
|
MATHEMATICA
|
Table[Product[j^2 + k^2 + n^2, {j, 1, n}, {k, 1, n}], {n, 0, 10}]
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|