A254130 Numbers whose factorials are exclusionary: numbers n such that n and n! have no digits in common.

0, 3, 5, 6, 7, 8, 9, 13, 16

Offset: 1

Author

Felix Fröhlich, May 03 2015

Keywords

• nonn
• base
• fini

Comments

Conjecture: The sequence is finite, with 16 being the last term.

If A182049 is finite, then this sequence is finite. If 41 is the largest term in A182049 (as is conjectured), then 16 is the largest term of this sequence. - M. F. Hasler, May 04 2015

Examples

			13! = 6227020800. 13 and 6227020800 have no digits in common, so 13 is a term of the sequence.
		

Crossrefs

Cf. A000142, A112736, A112994, A111116.

Programs

Mathematica

Select[Range[0,16],DisjointQ[IntegerDigits[#],IntegerDigits[#!]]&] (* Ivan N. Ianakiev, May 04 2015 *)

PARI

is(n)=#setintersect(Set(digits(n)), Set(digits(n!)))==0