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A251088 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having the sum of its diagonal elements greater than the absolute difference of its antidiagonal elements 9
27, 83, 83, 192, 284, 192, 420, 616, 616, 420, 872, 1306, 1165, 1306, 872, 1782, 2534, 2362, 2362, 2534, 1782, 3593, 4848, 4379, 4718, 4379, 4848, 3593, 7215, 9086, 8284, 8512, 8512, 8284, 9086, 7215, 14443, 17102, 15411, 15780, 14891, 15780, 15411 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....27....83....192....420....872...1782...3593....7215...14443...28891...57762

....83...284....616...1306...2534...4848...9086...17102...32336...61836..119420

...192...616...1165...2362...4379...8284..15411...29142...55429..106880..207889

...420..1306...2362...4718...8512..15780..28616...52934...98550..186788..358250

...872..2534...4379...8512..14891..27040..48017...87488..160737..301824..574763

..1782..4848...8284..15780..27040..47932..82898..147152..263698..484744..907152

..3593..9086..15411..28616..48017..82898.139553..240972..420611..755534.1387095

..7215.17102..29142..52934..87488.147152.240972..402854..680446.1184344.2115062

.14443.32336..55429..98550.160737.263698.420611..680446.1109887.1863898.3220133

.28891.61836.106880.186788.301824.484744.755534.1184344.1863898.3007772.4993492

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..544

FORMULA

Empirical for column k:

k=1: a(n) = 5*a(n-1) -8*a(n-2) +2*a(n-3) +7*a(n-4) -7*a(n-5) +2*a(n-6) for n>7

k=2: a(n) = 6*a(n-1) -13*a(n-2) +10*a(n-3) +5*a(n-4) -14*a(n-5) +9*a(n-6) -2*a(n-7) for n>8

k=3: a(n) = 6*a(n-1) -13*a(n-2) +10*a(n-3) +5*a(n-4) -14*a(n-5) +9*a(n-6) -2*a(n-7) for n>8

k=4: a(n) = 6*a(n-1) -13*a(n-2) +10*a(n-3) +5*a(n-4) -14*a(n-5) +9*a(n-6) -2*a(n-7) for n>8

k=5: a(n) = 6*a(n-1) -13*a(n-2) +10*a(n-3) +5*a(n-4) -14*a(n-5) +9*a(n-6) -2*a(n-7) for n>8

k=6: a(n) = 6*a(n-1) -13*a(n-2) +10*a(n-3) +5*a(n-4) -14*a(n-5) +9*a(n-6) -2*a(n-7) for n>8

k=7: a(n) = 6*a(n-1) -13*a(n-2) +10*a(n-3) +5*a(n-4) -14*a(n-5) +9*a(n-6) -2*a(n-7) for n>8

EXAMPLE

Some solutions for n=4 k=4

..0..0..1..1..2....0..1..1..1..2....0..1..2..2..2....0..0..0..0..0

..0..0..0..0..0....0..0..0..0..1....0..0..0..0..0....2..2..2..2..2

..1..1..1..1..1....0..0..0..0..1....2..2..2..2..2....0..0..0..0..0

..0..0..0..0..0....0..0..0..0..1....0..0..0..0..0....1..1..1..1..1

..1..1..1..0..0....2..1..0..0..0....2..2..2..1..1....0..0..0..0..0

CROSSREFS

Sequence in context: A042434 A042436 A042438 * A044981 A251081 A161340

Adjacent sequences:  A251085 A251086 A251087 * A251089 A251090 A251091

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 29 2014

STATUS

approved

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Last modified September 28 09:11 EDT 2022. Contains 357068 sequences. (Running on oeis4.)