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Triangle of number C(3; m,k) of arrangements of k objects of one type and m of another such that no 3-run occurs.
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%I #6 Jul 30 2015 22:02:40

%S 1,1,1,1,2,3,2,1,1,3,6,7,6,3,1,0,2,7,14,18,16,10,4,1,0,1,6,18,34,45,

%T 43,30,15,5,1,0,0,3,16,45,84,113,114,87,50,21,6,1,0,0,1,10,43,113,208,

%U 285,300,246,157,77,28,7,1,0,0,0,4,30,114,285,518,720,786,683,474,261

%N Triangle of number C(3; m,k) of arrangements of k objects of one type and m of another such that no 3-run occurs.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Run.html">Run</a>

%e 1, 1, 1; 1, 2, 3, 2, 1; 1, 3, 6, 7, 6, 3, 1; 0, 2, 7, 14, 18, 16, 10, 4, 1...

%e C(3;0,0), C(3;0,1), C(3;0,2); C(3;1,0}, C(3;1,1), C(3;1,2), C(3;1,3), C(3;1,4); ...

%K nonn,tabl

%O 0,5

%A _Eric W. Weisstein_, Jul 19 2003