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Divisors of 10!.
3

%I #23 Aug 27 2015 23:47:11

%S 1,2,3,4,5,6,7,8,9,10,12,14,15,16,18,20,21,24,25,27,28,30,32,35,36,40,

%T 42,45,48,50,54,56,60,63,64,70,72,75,80,81,84,90,96,100,105,108,112,

%U 120,126,128,135,140,144,150,160,162,168,175,180,189,192,200,210,216,224

%N Divisors of 10!.

%C Finite subsequence of A002473, the 7-smooth numbers;

%C 10! = A000142(10) = 3628800;

%C tau(3628800) = A000005(3628800) = 270;

%C last term: a(270) = 3628800.

%C A027423(10) = 270; a(n) = A027750(A000142(10),n), n = 1..270. - _Reinhard Zumkeller_, Aug 27 2013

%H R. Zumkeller, <a href="/A161466/b161466.txt">Table of n, a(n) for n = 1..270</a> (complete sequence)

%H <a href="/index/Di#divisors">Index entries for sequences related to divisors of numbers</a>

%H <a href="/index/Fa#factorial">Index entries for sequences related to factorial numbers</a>

%t Divisors[3628800] (* _Vladimir Joseph Stephan Orlovsky_, Feb 21 2012 *)

%o (PARI) divisors(10!) \\ _Joerg Arndt_, Apr 07 2013

%o (Haskell)

%o a161466 n = a161466_list !! (n-1)

%o a161466_list = a027750_row $ a000142 10

%o -- _Reinhard Zumkeller_, Aug 27 2013

%K fini,full,nonn,easy,look

%O 1,2

%A _Reinhard Zumkeller_, Jun 10 2009