OFFSET
0,4
COMMENTS
a(n) <= A061033(n).
n=61 gives the smallest example where the value of x is not maximal (cf. A061030) and the value of z is not minimal.
Apparently we have x < y < z for all n > 9. If so, using strict inequalities x < y < z in the definition would make the sequence undefined for n < 3 and affect only a(9) by switching from 9! = 70*72*72 to 9! = 63*72*80.
LINKS
Max Alekseyev, Table of n, a(n) for n = 0..100
CROSSREFS
KEYWORD
nonn
AUTHOR
Max Alekseyev, Jun 23 2022
STATUS
approved