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Array T 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 touches the line y=x/3 only at lattice points.

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`%I #5 Mar 30 2012 18:56:53
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`%S 1,1,1,1,1,1,1,2,1,1,1,3,3,2,1,1,4,6,5,3,1,1,5,10,11,5,4,1,1,6,15,21,
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`%T 16,5,5,1,1,7,21,36,37,21,10,6,1,1,8,28,57,73,58,31,16,7,1,1,9,36,85,
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`%U 130,131,89,31,23,8,1,1,10,45,121,215,261,220
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`%N Array T 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 touches the line y=x/3 only at lattice points.
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`%e Diagonals (beginning on row 0): {1}; {1,1}; {1,1,1}; {1,2,1,1};...
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`%K nonn,tabl
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`%O 0,8
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`%A _Clark Kimberling_
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