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A299554 T(n,k)=Number of nXk 0..1 arrays with every element equal to 2, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero. 7
0, 0, 0, 0, 1, 0, 0, 3, 3, 0, 0, 6, 9, 6, 0, 0, 17, 31, 31, 17, 0, 0, 41, 166, 220, 166, 41, 0, 0, 104, 752, 2034, 2034, 752, 104, 0, 0, 261, 3739, 17565, 37283, 17565, 3739, 261, 0, 0, 655, 18300, 160089, 621694, 621694, 160089, 18300, 655, 0, 0, 1646, 90313, 1456436 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,8

COMMENTS

Table starts

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

.0...1.....3........6.........17...........41.............104...............261

.0...3.....9.......31........166..........752............3739.............18300

.0...6....31......220.......2034........17565..........160089...........1456436

.0..17...166.....2034......37283.......621694........10759709.........186196755

.0..41...752....17565.....621694.....19604624.......648002718.......21337630973

.0.104..3739...160089...10759709....648002718.....40708113490.....2548695927399

.0.261.18300..1456436..186196755..21337630973...2548695927399...303433045764806

.0.655.90313.13302816.3228302388.704140369456.159913303887571.36196880526512847

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: a(n) = a(n-1) +3*a(n-2) +2*a(n-3)

k=3: [order 13] for n>15

k=4: [order 37] for n>38

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

..1..1..1..1. .1..1..1..1. .1..1..1..1. .1..1..1..1. .1..1..1..1

CROSSREFS

Column 2 is A297972.

Sequence in context: A268759 A298841 A299602 * A300175 A129533 A155999

Adjacent sequences:  A299551 A299552 A299553 * A299555 A299556 A299557

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 12 2018

STATUS

approved

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Last modified July 4 23:17 EDT 2022. Contains 355086 sequences. (Running on oeis4.)