n=2 classes=2  sum_K |K| t_K = 16   n!*sum (n!/chi(1))^2 = 16   OK
n=3 classes=3  sum_K |K| t_K = 486   n!*sum (n!/chi(1))^2 = 486   OK
n=4 classes=5  sum_K |K| t_K = 34176   n!*sum (n!/chi(1))^2 = 34176   OK
n=5 classes=7  sum_K |K| t_K = 3858240   n!*sum (n!/chi(1))^2 = 3858240   OK
n=6 classes=11  sum_K |K| t_K = 824354640   n!*sum (n!/chi(1))^2 = 824354640   OK
n=7 classes=15  sum_K |K| t_K = 268020990720   n!*sum (n!/chi(1))^2 = 268020990720   OK
ALL OK
