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A303690 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 2, 3 or 4 king-move adjacent elements, with upper left element zero. 8
0, 0, 0, 0, 3, 0, 0, 5, 5, 0, 0, 18, 2, 18, 0, 0, 61, 20, 20, 61, 0, 0, 209, 27, 138, 27, 209, 0, 0, 702, 108, 343, 343, 108, 702, 0, 0, 2381, 191, 1744, 349, 1744, 191, 2381, 0, 0, 8069, 599, 5563, 2809, 2809, 5563, 599, 8069, 0, 0, 27330, 1261, 23963, 4619, 19068, 4619 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,5
COMMENTS
Table starts
.0....0....0.....0.....0......0.......0........0........0.........0..........0
.0....3....5....18....61....209.....702.....2381.....8069.....27330......92581
.0....5....2....20....27....108.....191......599.....1261......3503.......8019
.0...18...20...138...343...1744....5563....23963....85439....343499....1279385
.0...61...27...343...349...2809....4619....29475....59695....312565.....749915
.0..209..108..1744..2809..19068...55382...273621...934066...4202604...15472710
.0..702..191..5563..4619..55382...99205...713542..1964803..10454428...36456925
.0.2381..599.23963.29475.273621..713542..5047477.16751184.100553061..399751263
.0.8069.1261.85439.59695.934066.1964803.16751184.58634971.399564046.1713589379
LINKS
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 16] for n>18
k=4: [order 31] for n>35
k=5: [order 93] for n>97
EXAMPLE
Some solutions for n=5 k=4
..0..0..1..0. .0..1..0..0. .0..1..0..1. .0..1..0..1. .0..1..0..1
..1..1..1..0. .0..1..1..1. .1..0..0..0. .0..1..1..0. .0..1..1..0
..0..1..0..1. .0..1..1..0. .0..1..1..0. .1..1..1..0. .0..1..1..1
..1..0..0..0. .0..1..1..0. .1..1..1..1. .0..1..1..0. .0..1..1..0
..0..1..0..1. .1..0..0..1. .0..0..1..0. .1..0..1..0. .0..1..0..1
CROSSREFS
Sequence in context: A115013 A072736 A135090 * A304156 A305509 A305175
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Apr 28 2018
STATUS
approved

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Last modified July 18 10:00 EDT 2024. Contains 374378 sequences. (Running on oeis4.)