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A298924 T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero. 7
0, 1, 1, 0, 4, 0, 1, 4, 4, 1, 0, 8, 1, 8, 0, 1, 32, 2, 2, 32, 1, 0, 32, 3, 3, 3, 32, 0, 1, 64, 5, 7, 7, 5, 64, 1, 0, 256, 8, 6, 9, 6, 8, 256, 0, 1, 256, 16, 9, 12, 12, 9, 16, 256, 1, 0, 512, 21, 20, 17, 19, 17, 20, 21, 512, 0, 1, 2048, 34, 22, 41, 22, 22, 41, 22, 34, 2048, 1, 0, 2048, 55, 35, 42 (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....0.....1.....0.....1......0

.1...4..4..8.32.32.64.256.256.512.2048.2048.4096.16384.16384.32768.131072

.0...4..1..2..3..5..8..16..21..34...55...89..144...236...377...610....987

.1...8..2..3..7..6..9..20..22..35...59...90..145...240...378...611....991

.0..32..3..7..9.12.17..41..42..67..109..172..277...461...722..1167...1889

.1..32..5..6.12.19.22..48..53.103..169..272..446...863..1346..2395...4154

.0..64..8..9.17.22.31..83..92.172..309..549..923..1830..3021..5580..10091

.1.256.16.20.41.48.83.199.225.460..943.1570.2795..5933.10113.19462..37621

.0.256.21.22.42.53.92.225.330.644.1348.2306.4339..9315.17574.35170..70446

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..543

FORMULA

Empirical for column k:

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

k=2: a(n) = 8*a(n-3)

k=3: a(n) = a(n-1) +a(n-2) +a(n-6) -a(n-7) -a(n-8)

k=4: a(n) = a(n-1) +a(n-2) +a(n-6) -a(n-7) -a(n-8)

k=5: a(n) = a(n-1) +a(n-2) +a(n-6) -a(n-7) -a(n-8) for n>11

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 2 is A096252(n-1).

Sequence in context: A124321 A232195 A309333 * A217476 A298622 A298454

Adjacent sequences:  A298921 A298922 A298923 * A298925 A298926 A298927

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 29 2018

STATUS

approved

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Last modified September 27 21:12 EDT 2021. Contains 347698 sequences. (Running on oeis4.)