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A299451 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 3, 5, 6 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, 21, 10, 32, 21, 34, 64, 6, 32, 32, 6, 64, 34, 55, 256, 11, 36, 231, 36, 11, 256, 55, 89, 256, 41, 161, 163, 163, 161, 41, 256, 89, 144, 512, 24, 264, 546, 211, 546, 264, 24, 512, 144, 233, 2048, 42, 430 (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......144.......233

..2...4..4...8...32...32....64....256....256.....512.....2048......2048

..3...4..1...4...10....6....11.....41.....24......42......169.......100

..5...8..4..21...32...36...161....264....430....1475.....2598......4872

..8..32.10..32..231..163...546...2904...2321....8729....37095.....34873

.13..32..6..36..163..211...804...3138...4869...21921....69029....124071

.21..64.11.161..546..804..6326..19745..39495..290364...855008...2191987

.34.256.41.264.2904.3138.19745.174794.205522.1778833.11489465..16992517

.55.256.24.430.2321.4869.39495.205522.665961.5936888.26103440.114805573

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..241

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 18] for n>19

k=4: [order 62] for n>63

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000045(n+1).

Column 2 is A096252(n-1).

Sequence in context: A299194 A300030 A232451 * A300089 A298230 A298154

Adjacent sequences:  A299448 A299449 A299450 * A299452 A299453 A299454

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 10 2018

STATUS

approved

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Last modified April 19 06:59 EDT 2019. Contains 322237 sequences. (Running on oeis4.)