A047100 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.

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, 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, 130, 131, 89, 31, 23, 8, 1, 1, 10, 45, 121, 215, 261, 220

Offset

0,8

Links

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

Example

Diagonals (beginning on row 0): {1}; {1,1}; {1,1,1}; {1,2,1,1};...

Crossrefs

Sequence in context: A118923 A292745 A047010 * A124772 A227543 A366920

Adjacent sequences: A047097 A047098 A047099 * A047101 A047102 A047103

Keyword

nonn,tabl

Author

Clark Kimberling

Status

approved