OFFSET
0,3
COMMENTS
A "binomial" style a(m+n)/(a(m)*a(n)) is not always an integer, as for instance at m = n = 18 (unlike ordinary factorials or A048803). - Hal M. Switkay, Jul 22 2024
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..462 (first 37 terms from Hal M. Switkay)
EXAMPLE
a(8) = 1*2*3*2*5*6*7*2 = 5040.
MAPLE
b:= proc(n) option remember; (l-> (t-> mul(i[1]^(i[2]/t),
i=l))(igcd(seq(i[2], i=l))))(ifactors(n)[2])
end:
a:= proc(n) option remember; `if`(n<1, 1, a(n-1)*b(n)) end:
seq(a(n), n=0..23); # Alois P. Heinz, Jul 22 2024
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Amarnath Murthy, Feb 26 2002
EXTENSIONS
a(0)=1 prepended by Alois P. Heinz, Jul 22 2024
STATUS
approved