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A317465 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 2, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 7
0, 0, 0, 0, 3, 0, 0, 5, 5, 0, 0, 18, 16, 18, 0, 0, 61, 107, 107, 61, 0, 0, 209, 636, 1429, 636, 209, 0, 0, 702, 3893, 16809, 16809, 3893, 702, 0, 0, 2381, 23769, 203786, 386855, 203786, 23769, 2381, 0, 0, 8069, 145280, 2461839, 9178195, 9178195, 2461839 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

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

.0....3......5........18...........61............209...............702

.0....5.....16.......107..........636...........3893.............23769

.0...18....107......1429........16809.........203786...........2461839

.0...61....636.....16809.......386855........9178195.........217053933

.0..209...3893....203786......9178195......426934467.......19791556259

.0..702..23769...2461839....217053933....19791556259.....1798167135483

.0.2381.145280..29797355...5142922330...919311610591...163704740864606

.0.8069.887980.360606527.121842389647.42696124087673.14901625879985868

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..220

FORMULA

Empirical for column k:

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

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

k=3: [order 12] for n>14

k=4: [order 28] for n>29

k=5: [order 61] for n>64

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 2 is A303684.

Sequence in context: A316686 A304767 A316511 * A051174 A273089 A330735

Adjacent sequences:  A317462 A317463 A317464 * A317466 A317467 A317468

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jul 28 2018

STATUS

approved

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Last modified December 2 18:09 EST 2021. Contains 349445 sequences. (Running on oeis4.)