

A332242


Numbers k such that k! has exactly k nonzero decimal digits.


0




OFFSET

1,2


COMMENTS

No other terms < 100000.
Conjecture: these 6 terms are the only terms of the sequence, i.e., there are no terms larger than 57.


LINKS



FORMULA



EXAMPLE

48! = 12413915592536072670862289047373375038521486354677760000000000 has 48 nonzero decimal digits, so 48 is a term.


MAPLE

q:= n> nops(subs(0=NULL, convert(n!, base, 10)))=n:


PROG

(Python)
while i < 1000:
s = str(n)
if len(s)  s.count('0') == i:
i += 1
n *= i
(PARI) isok(k) = #select(x>(x != 0), digits(k!)) == k; \\ Michel Marcus, Feb 08 2020


CROSSREFS



KEYWORD

nonn,base


AUTHOR



STATUS

approved



