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A137582
Numbers having no inner zeros in decimal representation of their factorial.
1
0, 1, 2, 3, 4, 5, 6, 9, 10, 11, 14, 31, 40
OFFSET
1,3
COMMENTS
Conjecture: the sequence is finite.
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
Reinhard Zumkeller, Jan 27 2008
STATUS
approved