

A047030


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 no step touches the line y=x/4 unless x=0 or x=h.


8



1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 1, 1, 1, 4, 6, 4, 2, 1, 1, 5, 10, 10, 4, 1, 1, 1, 6, 15, 20, 14, 4, 2, 1, 1, 7, 21, 35, 34, 18, 4, 3, 1, 1, 8, 28, 56, 69, 52, 22, 4, 4, 1, 1, 9, 36, 84, 125, 121, 74, 26, 8, 5, 1, 1, 10, 45, 120, 209, 246, 195, 100
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OFFSET

0,8


LINKS

M. Janjic and B. Petkovic, A Counting Function, arXiv preprint arXiv:1301.4550, 2013.  From N. J. A. Sloane, Feb 13 2013


EXAMPLE

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


CROSSREFS



KEYWORD



AUTHOR



STATUS

approved



