OFFSET
0,3
LINKS
Eric M. Schmidt, Table of n, a(n) for n = 0..10000
D. M. Kane, On the number of ways of writing T as a product of factorials, Integers: Electronic Journal of Combinatorial Number Theory, 5 (2005), #A02, 10pp.
FORMULA
Conjecture: max_{n->infinity} a(n) = 4 [Kane].
EXAMPLE
1 = 1!*1!, so a(1) = 1; 2 = 1!*2! = 2!*1!, so a(2) = 2. - corrected by Eric M. Schmidt, Dec 07 2012
PROG
(Sage)
def A108069(n) :
count = 0;
m = 1; factm = 1;
while factm <= n :
k = 1; factk = 1;
while factm * factk <= n :
if factm * factk == n :
count += 1;
k += 1; factk *= k;
m += 1; factm *= m;
return count; # Eric M. Schmidt, Dec 07 2012
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Jun 04 2005
EXTENSIONS
More terms from Christian G. Bower, Jun 04 2005
a(0) term added by Eric M. Schmidt, Dec 07 2012
STATUS
approved