A224414 Number of 7Xn 0..1 arrays with rows unimodal and antidiagonals nondecreasing

128, 2916, 16684, 52700, 129402, 284254, 590254, 1183226, 2313915, 4440909, 8390988, 15630228, 28711640, 51997668, 92801492, 163153936, 282488024, 481647192, 808773552, 1337828696, 2180752418, 3504587582, 5555307682

Offset

1,1

Comments

Row 7 of A224409

Links

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

Formula

Empirical: a(n) = (1/87178291200)*n^14 + (1/958003200)*n^13 + (1/21288960)*n^12 + (23/17418240)*n^11 + (331/12441600)*n^10 + (11671/29030400)*n^9 + (612743/121927680)*n^8 + (25375/497664)*n^7 + (15815113/14515200)*n^6 + (109956869/21772800)*n^5 + (221348047/3421440)*n^4 + (154662289/665280)*n^3 + (81821289727/75675600)*n^2 - (157721/140)*n - 1044 for n>5

Example

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

Crossrefs

Sequence in context: A250282 A019564 A224163 * A128802 A297613 A250565

Adjacent sequences: A224411 A224412 A224413 * A224415 A224416 A224417

Keyword

nonn

Author

R. H. Hardin Apr 05 2013

Status

approved