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A300089 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 7
1, 2, 2, 3, 4, 3, 5, 4, 4, 5, 8, 8, 1, 8, 8, 13, 32, 4, 4, 32, 13, 21, 32, 10, 25, 10, 32, 21, 34, 64, 6, 50, 50, 6, 64, 34, 55, 256, 19, 98, 415, 98, 19, 256, 55, 89, 256, 41, 359, 533, 533, 359, 41, 256, 89, 144, 512, 32, 766, 3089, 1822, 3089, 766, 32, 512, 144, 233, 2048, 106 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

..1...2..3....5.....8.....13......21........34.........55..........89

..2...4..4....8....32.....32......64.......256........256.........512

..3...4..1....4....10......6......19........41.........32.........106

..5...8..4...25....50.....98.....359.......766.......1932........5677

..8..32.10...50...415....533....3089.....13808......27523......150838

.13..32..6...98...533...1822...13646.....64560.....292356.....1935206

.21..64.19..359..3089..13646..167131...1179926....7203918....75245386

.34.256.41..766.13808..64560.1179926..14634300..102798960..1708342471

.55.256.32.1932.27523.292356.7203918.102798960.1518807971.32115302281

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..220

FORMULA

Empirical for column k:

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

k=2: a(n) = 8*a(n-3) for n>4

k=3: [order 20] for n>21

k=4: [order 59] for n>61

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000045(n+1).

Column 2 is A096252(n-1).

Sequence in context: A300030 A232451 A299451 * A298230 A298154 A299128

Adjacent sequences:  A300086 A300087 A300088 * A300090 A300091 A300092

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 24 2018

STATUS

approved

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Last modified May 15 18:26 EDT 2021. Contains 343920 sequences. (Running on oeis4.)