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A283203 T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than two of its horizontal and vertical neighbors, with the exception of exactly one element. 7
0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 36, 83, 36, 0, 0, 176, 868, 868, 176, 0, 0, 824, 7899, 16048, 7899, 824, 0, 0, 3668, 66412, 263232, 263232, 66412, 3668, 0, 0, 15808, 535025, 4024168, 7842272, 4024168, 535025, 15808, 0, 0, 66640, 4184880, 59065412 (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..........36...........176..............824...............3668

.0.....6.......83.........868..........7899............66412.............535025

.0....36......868.......16048........263232..........4024168...........59065412

.0...176.....7899......263232.......7842272........218628378.........5855079969

.0...824....66412.....4024168.....218628378......11127848480.......544338609740

.0..3668...535025....59065412....5855079969.....544338609740.....48652102368973

.0.15808..4184880...842673912..152494818512...25902857395584...4230873205192882

.0.66640.32026556.11773250320.3891003515011.1207783406994400.360562132072479325

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 10]

k=3: [order 18]

k=4: [order 34]

k=5: [order 96]

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Sequence in context: A281080 A283347 A334710 * A155742 A005597 A281056

Adjacent sequences:  A283200 A283201 A283202 * A283204 A283205 A283206

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Mar 02 2017

STATUS

approved

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Last modified November 30 13:45 EST 2021. Contains 349420 sequences. (Running on oeis4.)