A185640 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum

0, 404, 404, 854, 5068, 854, 10296, 56558, 56558, 10296, 37844, 678268, 1009472, 678268, 37844, 290174, 8069858, 25812774, 25812774, 8069858, 290174, 1362488, 96721922, 574149820, 1223338660, 574149820, 96721922, 1362488, 8774626

Offset

1,2

Comments

Table starts

.......0......404.......854......10296.....37844......290174....1362488.8774626

.....404.....5068.....56558.....678268...8069858....96721922.1158080514

.....854....56558...1009472...25812774.574149820.13489115938

...10296...678268..25812774.1223338660

...37844..8069858.574149820

..290174.96721922

.1362488

Links

R. H. Hardin, Table of n, a(n) for n = 1..31

Example

Some solutions for 4X3
..3..2..3....3..3..3....1..0..2....2..2..3....1..2..1....2..1..1....0..1..2
..2..1..2....2..1..0....2..1..3....3..1..0....2..3..2....3..2..2....3..2..1
..2..3..3....0..1..2....2..1..2....0..1..3....2..2..0....2..3..2....1..2..3
..0..3..2....0..0..0....1..0..0....2..2..3....0..1..0....0..3..1....0..0..0

Crossrefs

Sequence in context: A283662 A097741 A117836 * A185637 A234675 A135791

Adjacent sequences: A185637 A185638 A185639 * A185641 A185642 A185643

Keyword

nonn,tabl

Author

R. H. Hardin Feb 01 2011

Status

approved