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A297978 T(n,k)=Number of nXk 0..1 arrays with every element equal to 2, 3, 4 or 5 king-move adjacent elements, with upper left element zero. 8
0, 0, 0, 0, 1, 0, 0, 3, 3, 0, 0, 6, 8, 6, 0, 0, 17, 20, 20, 17, 0, 0, 41, 124, 109, 124, 41, 0, 0, 104, 501, 1042, 1042, 501, 104, 0, 0, 261, 2410, 7302, 18037, 7302, 2410, 261, 0, 0, 655, 11304, 60427, 242401, 242401, 60427, 11304, 655, 0, 0, 1646, 53108, 481401, 3565760 (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......20.......124..........501...........2410............11304
.0...6....20.....109......1042.........7302..........60427...........481401
.0..17...124....1042.....18037.......242401........3565760.........52222182
.0..41...501....7302....242401......5902043......160132152.......4278426570
.0.104..2410...60427...3565760....160132152.....7833283900.....380347270776
.0.261.11304..481401..52222182...4278426570...380347270776...33544649054853
.0.655.53108.3880101.765460393.114579985316.18479502350618.2962364663254528
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 46] for n>49
EXAMPLE
Some solutions for n=5 k=4
..0..0..0..0. .0..0..1..1. .0..0..1..1. .0..0..0..0. .0..0..1..1
..0..1..1..0. .0..0..0..1. .0..1..0..1. .0..1..0..0. .1..0..0..1
..0..0..1..1. .1..1..0..1. .0..0..1..1. .1..0..1..1. .1..1..1..0
..1..1..1..0. .1..0..1..0. .0..1..1..0. .0..1..1..0. .0..0..1..0
..1..1..0..0. .0..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..0..0
CROSSREFS
Sequence in context: A152893 A335682 A335681 * A298629 A298461 A299334
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 10 2018
STATUS
approved

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Last modified April 20 09:03 EDT 2024. Contains 371799 sequences. (Running on oeis4.)