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 A137580 #18 May 04 2015 01:18:07 %S A137580 1,1,1,1,2,3,3,3,4,5,5,6,6,5,6,7,5,9,8,8,9,7,7,10,9,8,9,10,8,9,9,10,9, %T A137580 10,10,10,10,10,9,10,10,9,10,10,10,10,10,10,10,10,10,10,10,10,10,10, %U A137580 10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10 %N A137580 Number of distinct digits in decimal representation of n!. %H A137580 Reinhard Zumkeller, <a href="/A137580/b137580.txt">Table of n, a(n) for n = 0..1000</a> %H A137580 <a href="/index/Fa#factorial">Index entries for sequences related to factorial numbers</a>. %F A137580 a(n) = A043537(A000142(n)). %F A137580 a(n) < 10 iff A137579(n) = 0. %F A137580 a(A182049(n)) < 10. - _Reinhard Zumkeller_, Apr 08 2012 %e A137580 n=12: 12! = 479001600 => a(12) = #{0,1,4,6,7,9} = 6. %t A137580 Map[Length[Union[IntegerDigits[#]]] &, Table[n!, {n, 0, 79}]] (* _Geoffrey Critzer_, May 25 2013 *) %o A137580 (Haskell) %o A137580 import Data.List (nub, sort) %o A137580 a137580 = length . nub . show . a000142 %o A137580 -- _Reinhard Zumkeller_, Apr 08 2012 %o A137580 (PARI) A137580(n)=#Set(digits(n!)) \\ _M. F. Hasler_, May 04 2015 %Y A137580 Cf. A137577, A137578. %Y A137580 Cf. A034886. %K A137580 nonn,base %O A137580 0,5 %A A137580 _Reinhard Zumkeller_, Jan 27 2008