A223769 Number of nX7 0..1 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing.

29, 267, 1097, 3141, 7564, 16742, 35513, 73427, 149053, 297518, 583860, 1125118, 2126567, 3939287, 7150127, 12719513, 22189580, 37994506, 63918056, 105761409, 172308985, 276713314, 438464653, 686170386, 1061447357, 1624332246

Offset: 1

Author

R. H. Hardin Mar 27 2013

Keywords

• nonn

Comments

Column 7 of A223770

Examples

			Some solutions for n=3
..1..0..0..0..0..0..0....0..1..1..0..0..0..0....0..1..1..0..0..0..0
..1..1..1..0..0..0..0....0..1..1..1..0..0..0....0..1..1..1..0..0..0
..1..1..1..1..1..0..0....0..0..1..1..1..0..0....1..1..1..1..1..0..0
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = (1/87178291200)*n^14 - (1/1779148800)*n^13 + (1/38320128)*n^12 - (127/191600640)*n^11 + (311/12441600)*n^10 - (2021/3225600)*n^9 + (2304587/121927680)*n^8 - (6921119/17418240)*n^7 + (278861369/43545600)*n^6 - (1599083081/21772800)*n^5 + (2209531079/3421440)*n^4 - (4215012997/997920)*n^3 + (3157078175059/151351200)*n^2 - (25129653953/360360)*n + 120027 for n>10