%I A045619
%S A045619 0,2,6,12,20,24,30,42,56,60,72,90,110,120,132,156,182,210,240,272,306,
%T A045619 336,342,360,380,420,462,504,506,552,600,650,702,720,756,812,840,870,
%U A045619 930,990,992,1056,1122,1190,1260,1320,1332,1406,1482,1560,1640,1680
%N A045619 Numbers that are the products of 2 or more consecutive integers.
%C A045619 Erdos and Selfridge proved that numbers of this kind can never be a perfect 
               power (A001597). - T. D. Noe (noe(AT)sspectra.com), Oct 13 2002
%C A045619 Numbers of the form x!/y! with y+1 < x. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 
               Feb 20 2008
%C A045619 a(n)=A000142(A137911(n))/A000142(A137912(n)-1) for n>1. - Reinhard Zumkeller 
               (reinhard.zumkeller(AT)gmail.com), Feb 27 2008
%D A045619 P. Erdos and J.L. Selfridge, The product of consecutive integers is never 
               a power, Illinois Jour. Math. 19 (1975, 292-301.
%H A045619 T. D. Noe, <a href="b045619.txt">Table of n, a(n) for n = 1..1000</a>
%t A045619 maxNum = 1700; lst = {}; For[i = 1, i <= Sqrt[maxNum], i++, j = i + 1; 
               prod = i*j; While[prod < maxNum, AppendTo[lst, prod]; j++; prod *= 
               j]]; lst = Union[lst]
%Y A045619 Cf. A001597.
%Y A045619 Cf. A000142, A137895, A053625, A093449, A064224, A084720.
%Y A045619 Cf. A137899, A137900.
%Y A045619 Sequence in context: A067114 A102711 A141406 this_sequence A028690 A120344 
               A031426
%Y A045619 Adjacent sequences: A045616 A045617 A045618 this_sequence A045620 A045621 
               A045622
%K A045619 easy,nonn,nice
%O A045619 1,2
%A A045619 Erich Friedman (erich.friedman(AT)stetson.edu)
%E A045619 More terms from Larry Reeves (larryr(AT)acm.org), Jul 20 2000
%E A045619 More terms from Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 
               Feb 27 2008