This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A254130 #19 May 04 2015 10:56:03 %S A254130 0,3,5,6,7,8,9,13,16 %N A254130 Numbers whose factorials are exclusionary: numbers n such that n and n! have no digits in common. %C A254130 Conjecture: The sequence is finite, with 16 being the last term. %C A254130 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 %e A254130 13! = 6227020800. 13 and 6227020800 have no digits in common, so 13 is a term of the sequence. %t A254130 Select[Range[0,16],DisjointQ[IntegerDigits[#],IntegerDigits[#!]]&] (* _Ivan N. Ianakiev_, May 04 2015 *) %o A254130 (PARI) is(n)=#setintersect(Set(digits(n)), Set(digits(n!)))==0 %Y A254130 Cf. A000142, A112736, A112994, A111116. %K A254130 nonn,base,fini %O A254130 1,2 %A A254130 _Felix Fröhlich_, May 03 2015