A251010 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having its maximum diagonal element less than the absolute difference of its antidiagonal elements

69, 530, 530, 4083, 10743, 4083, 31456, 218298, 218298, 31456, 242326, 4434257, 11671623, 4434257, 242326, 1866789, 90065275, 623999793, 623999793, 90065275, 1866789, 14381065, 1829373498, 33363057374, 87861924805, 33363057374

Offset

1,1

Comments

Table starts

.......69.........530...........4083..............31456................242326

......530.......10743.........218298............4434257..............90065275

.....4083......218298.......11671623..........623999793...........33363057374

....31456.....4434257......623999793........87861924805........12371981931569

...242326....90065275....33363057374.....12371981931569......4588026318857390

..1866789..1829373498..1783834023550...1742128826665123...1701457658126732221

.14381065.37157718881.95376750510010.245313779556192507.630984636213514464079

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Formula

Empirical for column k:

k=1: a(n) = 9*a(n-1) -12*a(n-2) +17*a(n-3) -12*a(n-4) +4*a(n-5)

k=2: [order 13]

k=3: [order 31]

k=4: [order 87]

Example

Some solutions for n=2 k=4
..0..0..1..2..2....0..1..2..1..0....0..0..1..1..1....0..1..1..2..1
..0..2..2..1..2....0..1..1..0..2....0..0..1..0..1....0..2..0..2..0
..2..0..2..2..1....0..1..0..2..1....0..2..1..0..1....0..2..2..1..2

Crossrefs

Sequence in context: A253335 A234832 A234825 * A251003 A211692 A264288

Adjacent sequences: A251007 A251008 A251009 * A251011 A251012 A251013

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 29 2014

Status

approved