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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified June 28 05:40 EDT 2022. Contains 354903 sequences. (Running on oeis4.)