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Array read by diagonals: T(h,k)=number of paths consisting of steps from (0,0) to (h,k) such that each step has length 1 directed up or right and no up-step crosses the line y=5x/3. (Thus a path crosses the line only at lattice points and on right-steps.).
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%I #7 Mar 30 2012 18:56:53

%S 1,1,1,1,2,1,1,1,3,1,1,2,4,4,1,1,3,6,8,5,1,1,4,3,14,13,6,1,1,5,7,17,

%T 27,19,7,1,1,6,12,24,44,46,26,8,1,1,7,18,36,68,90,72,34,9,1,1,8,25,54,

%U 104,158,162,106,43,10,1,1,9,33,79,54,262,320

%N Array read by diagonals: T(h,k)=number of paths consisting of steps from (0,0) to (h,k) such that each step has length 1 directed up or right and no up-step crosses the line y=5x/3. (Thus a path crosses the line only at lattice points and on right-steps.).

%K nonn,tabl

%O 0,5

%A _Clark Kimberling_. Definition revised Dec 08 2006