The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A254130 Numbers whose factorials are exclusionary: numbers n such that n and n! have no digits in common. 0
 0, 3, 5, 6, 7, 8, 9, 13, 16 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 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 LINKS EXAMPLE 13! = 6227020800. 13 and 6227020800 have no digits in common, so 13 is a term of the sequence. MATHEMATICA Select[Range[0, 16], DisjointQ[IntegerDigits[#], IntegerDigits[#!]]&] (* Ivan N. Ianakiev, May 04 2015 *) PROG (PARI) is(n)=#setintersect(Set(digits(n)), Set(digits(n!)))==0 CROSSREFS Cf. A000142, A112736, A112994, A111116. Sequence in context: A288224 A039063 A266114 * A114978 A138891 A163162 Adjacent sequences:  A254127 A254128 A254129 * A254131 A254132 A254133 KEYWORD nonn,base,fini AUTHOR Felix FrÃ¶hlich, May 03 2015 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified February 27 03:50 EST 2020. Contains 332299 sequences. (Running on oeis4.)