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

1,1

Comments

Column 7 of A223770

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

Example

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

Crossrefs

Sequence in context: A146038 A142683 A042634 * A224157 A223776 A224408

Adjacent sequences: A223766 A223767 A223768 * A223770 A223771 A223772

Keyword

nonn

Author

R. H. Hardin Mar 27 2013

Status

approved