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A371560
a(n) = n!*(n+1)!^3.
1
1, 8, 432, 82944, 41472000, 44789760000, 92177326080000, 330363536670720000, 1926680145863639040000, 17340121312772751360000000, 230797014673005320601600000000, 4386989654904485133995212800000000, 115658595261901846072649790259200000000
OFFSET
0,2
COMMENTS
6*a(n) is the number of elements of the wreath product of S_n and S_4 with cycle partition equal to (4n).
PROG
(SageMath) def a(n): return factorial(n-1)*(factorial(n)**(4-1))
(Python)
from math import factorial
def A371560(n): return factorial(n)**4*(n+1)**3 # Chai Wah Wu, Apr 22 2024
CROSSREFS
Sequence in context: A024110 A132099 A186419 * A007701 A101356 A231102
KEYWORD
nonn
AUTHOR
Josaphat Baolahy, Mar 27 2024
STATUS
approved