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A283347 T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than two of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element. 7
0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 26, 71, 26, 0, 0, 120, 572, 572, 120, 0, 0, 524, 4398, 7804, 4398, 524, 0, 0, 2174, 31952, 106310, 106310, 31952, 2174, 0, 0, 8816, 224927, 1354928, 2519010, 1354928, 224927, 8816, 0, 0, 35036, 1546856, 16714556, 55886238 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,8

COMMENTS

Table starts

.0.....0........0..........0............0...............0.................0

.0.....0........6.........26..........120.............524..............2174

.0.....6.......71........572.........4398...........31952............224927

.0....26......572.......7804.......106310.........1354928..........16714556

.0...120.....4398.....106310......2519010........55886238........1199035122

.0...524....31952....1354928.....55886238......2154364298.......80410575348

.0..2174...224927...16714556...1199035122.....80410575348.....5221636463228

.0..8816..1546856..201420678..25121756412...2929763437610...330934422791290

.0.35036.10453311.2383832160.516765464924.104800502322828.20589913083547464

LINKS

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

FORMULA

Empirical for column k:

k=1: a(n) = a(n-1)

k=2: [order 16]

k=3: [order 16]

k=4: [order 38]

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Sequence in context: A002892 A055667 A281080 * A334710 A283203 A155742

Adjacent sequences:  A283344 A283345 A283346 * A283348 A283349 A283350

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Mar 05 2017

STATUS

approved

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Last modified January 20 01:18 EST 2022. Contains 350467 sequences. (Running on oeis4.)