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A298461 T(n,k)=Number of nXk 0..1 arrays with every element equal to 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero. 7
0, 0, 0, 0, 1, 0, 0, 3, 3, 0, 0, 6, 8, 6, 0, 0, 17, 30, 30, 17, 0, 0, 41, 153, 219, 153, 41, 0, 0, 104, 710, 2013, 2013, 710, 104, 0, 0, 261, 3490, 17443, 35980, 17443, 3490, 261, 0, 0, 655, 17087, 158594, 603930, 603930, 158594, 17087, 655, 0, 0, 1646, 84008, 1441287 (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.....8.......30........153..........710............3490.............17087
.0...6....30......219.......2013........17443..........158594...........1441287
.0..17...153.....2013......35980.......603930........10408388.........179761398
.0..41...710....17443.....603930.....19100497.......628485305.......20637616811
.0.104..3490...158594...10408388....628485305.....39291988976.....2452094749578
.0.261.17087..1441287..179761398..20637616811...2452094749578...290849365371077
.0.655.84008.13145287.3109300283.679019933720.153330900615477.34561341191060912
LINKS
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..1..1. .0..0..1..1. .0..0..0..0. .0..0..0..1. .0..0..0..0
..0..1..0..1. .1..0..0..1. .0..0..0..1. .0..0..1..1. .1..0..0..0
..1..1..1..0. .1..1..1..1. .1..0..1..1. .0..1..1..1. .1..1..1..1
..0..0..0..0. .1..1..0..1. .1..1..0..0. .1..0..0..0. .1..0..0..1
..0..0..0..0. .1..1..0..0. .1..1..0..0. .1..1..0..0. .0..0..1..1
CROSSREFS
Column 2 is A297972.
Sequence in context: A335681 A297978 A298629 * A299334 A268759 A298841
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 19 2018
STATUS
approved

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Last modified April 20 09:04 EDT 2024. Contains 371799 sequences. (Running on oeis4.)