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A298712 T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero. 7
0, 1, 1, 0, 4, 0, 1, 3, 3, 1, 0, 13, 0, 13, 0, 1, 32, 2, 2, 32, 1, 0, 53, 6, 11, 6, 53, 0, 1, 125, 20, 32, 32, 20, 125, 1, 0, 386, 22, 87, 781, 87, 22, 386, 0, 1, 727, 92, 110, 1354, 1354, 110, 92, 727, 1, 0, 1601, 206, 385, 2409, 3950, 2409, 385, 206, 1601, 0, 1, 4568, 460, 908 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

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

.1...4...3..13.....32.....53.....125......386.......727.......1601........4568

.0...3...0...2......6.....20......22.......92.......206........460........1176

.1..13...2..11.....32.....87.....110......385.......908.......2760........6454

.0..32...6..32....781...1354....2409....34250....109459.....294045.....2120905

.1..53..20..87...1354...3950....9586....92375....384519....1468344.....9531019

.0.125..22.110...2409...9586...17377...241249...1201122....6055242....45702804

.1.386..92.385..34250..92375..241249..8695221..49691754..274634548..4587455345

.0.727.206.908.109459.384519.1201122.49691754.359275256.2514115870.49068141912

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..199

FORMULA

Empirical for column k:

k=1: a(n) = a(n-2)

k=2: a(n) = a(n-1) +a(n-2) +8*a(n-3) -16*a(n-5)

k=3: [order 17] for n>18

k=4: [order 70]

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 2 is A298057.

Sequence in context: A096793 A155998 A298063 * A127538 A096008 A122873

Adjacent sequences:  A298709 A298710 A298711 * A298713 A298714 A298715

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 25 2018

STATUS

approved

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Last modified June 28 17:31 EDT 2022. Contains 354907 sequences. (Running on oeis4.)