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A281139 T(n,k)=Number of nXk 0..2 arrays with no element equal to more than one of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. 8
0, 0, 0, 1, 0, 1, 2, 24, 24, 2, 8, 112, 297, 112, 8, 28, 504, 1046, 1046, 504, 28, 94, 2528, 3460, 2368, 3460, 2528, 94, 304, 11712, 10790, 5368, 5368, 10790, 11712, 304, 960, 52160, 32692, 12064, 9484, 12064, 32692, 52160, 960, 2976, 230048, 96454, 27218 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,7

COMMENTS

Table starts

....0.......0......1......2......8.....28.....94....304.....960....2976....9096

....0.......0.....24....112....504...2528..11712..52160..230048.1000320.4294016

....1......24....297...1046...3460..10790..32692..96454..279958..801574.2269012

....2.....112...1046...2368...5368..12064..27218..61508..137320..303016..661750

....8.....504...3460...5368...9484..17592..33199..63976..124361..236858..440416

...28....2528..10790..12064..17592..29408..51158..90312..164300..299484..534922

...94...11712..32692..27218..33199..51158..85874.144256..244623..428484..747152

..304...52160..96454..61508..63976..90312.144256.239368..392012..649748.1109780

..960..230048.279958.137320.124361.164300.244623.392012..635490.1018244.1657226

.2976.1000320.801574.303016.236858.299484.428484.649748.1018244.1614888.2549762

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..363

FORMULA

Empirical for column k:

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

k=2: [order 8]

k=3: [order 14] for n>19

k=4: [order 24] for n>33

k=5: [order 24] for n>33

k=6: [order 32] for n>43

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 1 is A280279.

Sequence in context: A055535 A072217 A229429 * A052686 A258781 A064818

Adjacent sequences:  A281136 A281137 A281138 * A281140 A281141 A281142

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 15 2017

STATUS

approved

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Last modified November 13 07:13 EST 2019. Contains 329085 sequences. (Running on oeis4.)