A253396 Number of (n+1)X(7+1) 0..1 arrays with every 2X2 subblock antidiagonal maximum minus diagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal minimum nondecreasing vertically

704, 391, 520, 823, 1269, 1855, 2726, 3810, 5311, 7163, 9569, 12493, 16140, 20493, 25773, 31978, 39346, 47891, 57867, 69304, 82472, 97417, 114425, 133558, 155118, 179183, 206071, 235876, 268932, 305349, 345477, 389442, 437610, 490123, 547363

Offset

1,1

Comments

Column 7 of A253397

Links

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

Formula

Empirical: a(n) = 4*a(n-1) -5*a(n-2) +5*a(n-4) -4*a(n-5) +a(n-6) for n>18

Empirical for n mod 2 = 0: a(n) = (1/3)*n^4 - (1/3)*n^3 + (337/6)*n^2 - (1423/6)*n + 914 for n>12

Empirical for n mod 2 = 1: a(n) = (1/3)*n^4 - (1/3)*n^3 + (337/6)*n^2 - (1423/6)*n + 943 for n>12

Example

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

Crossrefs

Sequence in context: A283521 A334010 A257721 * A188370 A185571 A186923

Adjacent sequences: A253393 A253394 A253395 * A253397 A253398 A253399

Keyword

nonn

Author

R. H. Hardin, Dec 31 2014

Status

approved