A137582 - OEIS

A137582

Numbers having no inner zeros in decimal representation of their factorial.

0, 1, 2, 3, 4, 5, 6, 9, 10, 11, 14, 31, 40

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

COMMENTS

Conjecture: the sequence is finite.

LINKS

FORMULA

A137581(a(n)) = 0.

EXAMPLE

A000142(a(10)) = 11! = 399168*10^2;

A000142(a(11)) = 14! = 871782912*10^2;

A000142(a(12)) = 31! = 822283865417792281772556288*10^7.

PROG

(PARI) isok(k) = my(f=k!); while(!(f % 10), f \= 10); #select(x->(x == 0), digits(f)) == 0; \\ Michel Marcus, Jun 28 2023

CROSSREFS

KEYWORD

nonn,base,more

AUTHOR

STATUS

approved