OFFSET
2,4
LINKS
Wenguang Zhai, On the prime power factorization of n!, Journal of Number Theory, Volume 129, Issue 8, August 2009, Pages 1820-1836.
FORMULA
For p prime, T(n, p) = A090622(n, p) is the number of times that p is a factor of n!.
EXAMPLE
Rows start:
1;
1,1;
3,1,1;
3,1,1,1;
4,2,1,1,1;
4,2,1,1,1,1;
7,2,2,1,1,1,1;
7,4,2,1,1,1,1,1;
8,4,2,1,1,1,1,1,1;
etc.
PROG
(PARI) t(n, k) = {my(s = 0, j = 1); while(p=n\k^j, s += p; j++); s; } \\ Michel Marcus, Feb 02 2016
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Henry Bottomley, Dec 06 2003
STATUS
approved