OFFSET
0,11
COMMENTS
It can be shown that the terms obtained by the above formula are positive integers using the fact that k! divides a product of k consecutive numbers.
LINKS
Harry J. Smith, Table of n, a(n) for n = 0..100
FORMULA
EXAMPLE
a(12) = (12!) / (1!*2!) = 239500800.
MATHEMATICA
Table[n!/Times@@(IntegerDigits[n]!), {n, 0, 30}] (* Harvey P. Dale, Jan 19 2017 *)
PROG
(PARI) { for (n=0, 100, p=1; x=n; until (x==0, p*=(x - 10*(x\10))!; x\=10); write("b061603.txt", n, " ", n!/p) ) } \\ Harry J. Smith, Jul 25 2009
(PARI) a(n) = my(d = digits(n)); n!/prod(k=1, #d, d[k]!); \\ Michel Marcus, Jul 02 2018
CROSSREFS
KEYWORD
nonn,base,easy
AUTHOR
Amarnath Murthy, May 19 2001
EXTENSIONS
Corrected and extended by Vladeta Jovovic, May 19 2001
STATUS
approved