A185856 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock diagonal sum less antidiagonal sum equal to any horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum

81, 630, 630, 4942, 11610, 4942, 38700, 215880, 215880, 38700, 303212, 4004914, 9546820, 4004914, 303212, 2375550, 74358926, 420747588, 420747588, 74358926, 2375550, 18611050, 1380412312, 18568306790, 44035074450, 18568306790

Offset

1,1

Comments

Table starts

.........81...........630.............4942.............38700.............303212

........630.........11610...........215880...........4004914...........74358926

.......4942........215880..........9546820.........420747588........18568306790

......38700.......4004914........420747588.......44035074450......4616697253366

.....303212......74358926......18568306790.....4616697253366...1150465902394838

....2375550....1380412312.....819214742920...483841012308074.286557179719847388

...18611050...25625942242...36143110498108.50708343182050686

..145808838..475728999902.1594644874059338

.1142339588.8831529274288

.8949663042

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Example

Some solutions for 4X3
..1..2..0....0..0..1....0..0..2....0..1..2....1..0..1....0..0..1....0..1..2
..0..0..2....0..0..2....1..1..2....0..1..1....1..1..0....1..1..1....0..2..2
..2..0..1....2..1..0....2..0..2....1..0..2....1..1..2....1..0..2....2..0..2
..1..1..0....2..1..1....1..2..2....0..0..2....1..0..2....1..2..2....2..2..1

Crossrefs

Sequence in context: A182647 A256590 A322240 * A185848 A237629 A236720

Adjacent sequences: A185853 A185854 A185855 * A185857 A185858 A185859

Keyword

nonn,tabl

Author

R. H. Hardin Feb 05 2011

Status

approved