A047150 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.).

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

Offset

0,5

Links

Table of n, a(n) for n=0..72.

Crossrefs

Sequence in context: A180178 A136178 A047140 * A280489 A289356 A269977

Adjacent sequences: A047147 A047148 A047149 * A047151 A047152 A047153

Keyword

nonn,tabl

Author

Clark Kimberling. Definition revised Dec 08 2006

Status

approved