|
|
A294326
|
|
a(n) = Product_{k=0..n} (5*k + 4)!.
|
|
5
|
|
|
|
OFFSET
|
0,1
|
|
LINKS
|
|
|
FORMULA
|
a(n) ~ 2^(n/2 + 1/5) * 5^(5*n^2/2 + 7*n + 29/6) * n^(5*n^2/2 + 7*n + 281/60) * Pi^(n/2 + 1/10) * Gamma(1/5)^(3/5) * Gamma(2/5)^(1/5) / (A^(1/5) * (1 + sqrt(5))^(1/10) * exp(15*n^2/4 + 7*n-1/60)), where A is the Glaisher-Kinkelin constant A074962.
|
|
MATHEMATICA
|
Table[Product[(5*k + 4)!, {k, 0, n}] , {n, 0, 10}]
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|