OFFSET
0,3
FORMULA
a(n) = n! * lcm({k for k = 1..n+1}) / (n+1) = n! * LCM(n + 1) / (n + 1).
a(n) / a(n-1) = n^2 if and only if n + 1 is prime, for n >= 1.
MAPLE
a := n -> ilcm(seq(n!*binomial(n, k), k=0..n)):
seq(a(n), n = 0..19);
PROG
(Python)
from math import factorial, lcm
def A360283(n): return factorial(n)*lcm(*(i for i in range(1, n+2)))//(n+1) # Chai Wah Wu, Feb 15 2023
CROSSREFS
KEYWORD
nonn
AUTHOR
Peter Luschny, Feb 14 2023
STATUS
approved