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A352601
a(n) = RisingFactorial(2*n, n) = A124320(2*n, n).
3
1, 2, 20, 336, 7920, 240240, 8910720, 390700800, 19769460480, 1133836704000, 72684900288000, 5150244363264000, 399703747322880000, 33719008124158156800, 3072176295756632064000, 300649528529562820608000, 31451820032947491201024000, 3502589049123697883750400000
OFFSET
0,2
FORMULA
a(n) ~ 3^(3*n - 1/2) * n^n / (2^(2*n - 1/2) * exp(n)). - Vaclav Kotesovec, Aug 02 2024
MATHEMATICA
Table[Pochhammer[2*n, n], {n, 0, 17}] (* Amiram Eldar, Mar 22 2022 *)
PROG
(Sage)
def a(n): return rising_factorial(2*n, n)
print([a(n) for n in range(18)])
(Python)
from sympy import rf
def A352601(n): return rf(2*n, n) # Chai Wah Wu, Mar 22 2022
CROSSREFS
Cf. A124320.
Sequence in context: A322729 A304861 A104462 * A060164 A267827 A084948
KEYWORD
nonn
AUTHOR
Peter Luschny, Mar 22 2022
STATUS
approved