A253509 Number of (n+2)X(7+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal maximum minus antidiagonal minimum nondecreasing horizontally and vertically

1500, 3088, 5692, 10236, 16592, 25988, 38564, 55576, 77680, 106248, 142556, 188308, 245396, 316036, 402740, 508348, 636044, 789376, 972276, 1189080, 1444548, 1743884, 2092756, 2497316, 2964220, 3500648, 4114324, 4813536, 5607156, 6504660

Offset

1,1

Comments

Column 7 of A253510

Links

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

Formula

Empirical: a(n) = (1/6)*n^5 + (11/6)*n^4 + (97/6)*n^3 + (3661/6)*n^2 - (1501/3)*n - 980 for n>12

Example

Some solutions for n=4
..1..1..1..1..1..1..1..1..0....0..1..1..1..1..1..1..1..1
..1..1..1..1..1..1..1..1..0....1..1..1..1..1..1..1..1..0
..1..1..1..1..1..1..0..0..0....1..1..1..1..1..1..1..1..0
..1..1..1..1..1..1..1..1..1....1..1..1..1..1..1..1..0..0
..1..1..1..1..0..0..0..0..0....1..1..1..1..1..0..1..0..1
..1..1..1..0..0..1..1..1..1....0..0..0..0..0..0..1..0..1

Crossrefs

Sequence in context: A236732 A184078 A098191 * A237136 A183786 A181599

Adjacent sequences: A253506 A253507 A253508 * A253510 A253511 A253512

Keyword

nonn

Author

R. H. Hardin, Jan 02 2015

Status

approved