A224163 Number of 7Xn 0..1 arrays with diagonals and rows unimodal and antidiagonals nondecreasing

128, 2916, 9681, 18408, 32910, 60214, 114537, 222841, 437497, 857104, 1662992, 3177801, 5958392, 10937977, 19639113, 34486391, 59258268, 99731248, 164588012, 266685480, 424810970, 666096886, 1029319580, 1569379741, 2363354232

Offset

1,1

Comments

Row 7 of A224158

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 + (1/35481600)*n^12 - (599/958003200)*n^11 + (2503/87091200)*n^10 - (15289/29030400)*n^9 + (14386957/609638400)*n^8 - (43214887/87091200)*n^7 + (53001143/7257600)*n^6 - (371883179/5443200)*n^5 + (31780522507/59875200)*n^4 - (22988847851/6652800)*n^3 + (639379939651/30270240)*n^2 - (888679471/10010)*n + 189847 for n>10

Example

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

Crossrefs

Sequence in context: A221662 A250282 A019564 * A224414 A128802 A297613

Adjacent sequences: A224160 A224161 A224162 * A224164 A224165 A224166

Keyword

nonn

Author

R. H. Hardin Mar 31 2013

Status

approved