A253324 Number of (n+1)X(6+1) 0..1 arrays with every 2X2 subblock sum nondecreasing horizontally, vertically and antidiagonally ne-to-sw

1482, 6936, 31999, 66196, 173903, 283804, 600020, 952108, 1887609, 3123964, 6138900, 10795040, 21356925, 39547774, 78761338, 150942126, 301625253, 589680938, 1179726447, 2331440768, 4665269359, 9272462376, 18552625342

Offset

1,1

Comments

Column 6 of A253326

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +2*a(n-2) -26*a(n-3) +16*a(n-4) +62*a(n-5) -70*a(n-6) -62*a(n-7) +109*a(n-8) +14*a(n-9) -76*a(n-10) +16*a(n-11) +20*a(n-12) -8*a(n-13) for n>23

Example

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

Crossrefs

Sequence in context: A253331 A158770 A252366 * A204037 A235411 A238253

Adjacent sequences: A253321 A253322 A253323 * A253325 A253326 A253327

Keyword

nonn

Author

R. H. Hardin, Dec 30 2014

Status

approved