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%I #6 Jul 24 2013 18:49:23
%S 1,1,1,2,1,3,3,6,1,4,6,12,4,12,12,24,1,5,10,20,10,30,30,60,5,20,30,60,
%T 20,60,60,120,1,6,15,30,20,60,60,120,15,60,90,180,60,180,180,360,6,30,
%U 60,120,60,180,180,360,30,120,180,360,120,360,360,720,1,7,21,42,35,105
%N Multinomial coefficients for compositions in standard order.
%C The standard order of compositions is given by A066099.
%C Number of ways to distribute labeled objects into boxes, with the number of objects in each box being specified by the composition.
%H Alois P. Heinz, <a href="/A124774/b124774.txt">Rows n = 0..14, flattened</a>
%F For composition b(1),...,b(k), a(n) = (Sum_{i=1}^k b(i))! / (Product_{i=1}^k b(i)!).
%e Composition number 11 is 2,1,1; there are 6 choices for the pair of objects in the first box, then 2 choices for the object in the next box, so a(11) = 6*2 = 12.
%e The table starts:
%e 1
%e 1
%e 1 2
%e 1 3 3 6
%Y Cf. A066099, A124773, A011782 (row lengths), A000670 (row sums), A036039.
%K easy,nonn,tabf
%O 0,4
%A _Franklin T. Adams-Watters_, Nov 06 2006
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