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A282189 T(n,k)=Number of nXk 0..2 arrays with no element equal to more than four of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. 5
0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 8, 44, 8, 0, 0, 104, 2919, 2919, 104, 0, 0, 1222, 122866, 418178, 122866, 1222, 0, 0, 13552, 4446172, 48031921, 48031921, 4446172, 13552, 0, 0, 144784, 148868304, 4907541118, 15775532484, 4907541118, 148868304, 144784, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,12

COMMENTS

Table starts

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

.0........0............1..............8..............104.............1222

.0........1...........44...........2919...........122866..........4446172

.0........8.........2919.........418178.........48031921.......4907541118

.0......104.......122866.......48031921......15775532484....4628006363340

.0.....1222......4446172.....4907541118....4628006363340.3903552450233444

.0....13552....148868304...469203486998.1272857909584052

.0...144784...4745726158.42928015621172

.0..1506870.146320129628

.0.15382464

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..71

FORMULA

Empirical for column k:

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

k=2: a(n) = 16*a(n-1) -48*a(n-2) -116*a(n-3) -160*a(n-4) -96*a(n-5) -36*a(n-6) for n>9

k=3: [order 30] for n>33

EXAMPLE

Some solutions for n=3 k=4

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

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

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

CROSSREFS

Sequence in context: A111365 A199321 A144039 * A210125 A044110 A044491

Adjacent sequences:  A282186 A282187 A282188 * A282190 A282191 A282192

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 08 2017

STATUS

approved

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Last modified February 23 00:33 EST 2018. Contains 299473 sequences. (Running on oeis4.)