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A299388 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 4, 6 or 8 king-move adjacent elements, with upper left element zero. 5
1, 2, 2, 4, 7, 4, 8, 13, 13, 8, 16, 29, 20, 29, 16, 32, 69, 26, 26, 69, 32, 64, 137, 43, 46, 43, 137, 64, 128, 301, 72, 130, 130, 72, 301, 128, 256, 705, 115, 233, 310, 233, 115, 705, 256, 512, 1461, 189, 448, 531, 531, 448, 189, 1461, 512, 1024, 3193, 318, 877, 1112 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

...1....2...4....8...16...32....64...128....256....512....1024....2048....4096

...2....7..13...29...69..137...301...705...1461...3193....7373...15729...34405

...4...13..20...26...43...72...115...189....318....526.....874....1473....2482

...8...29..26...46..130..233...448...877...1605...3284....6774...13516...26780

..16...69..43..130..310..531..1112..2418...4870..10382...21883...45941...97484

..32..137..72..233..531.1002..1852..4200...9436..19203...41599...91092..197402

..64..301.115..448.1112.1852..4929.11412..24191..59037..137098..312216..728670

.128..705.189..877.2418.4200.11412.28917..66656.169277..416130..999147.2499437

.256.1461.318.1605.4870.9436.24191.66656.170693.444484.1173512.3002664.7845019

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..310

FORMULA

Empirical for column k:

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

k=2: a(n) = 3*a(n-1) -2*a(n-2) +8*a(n-3) -20*a(n-4) +8*a(n-5) for n>6

k=3: [order 17] for n>19

k=4: [order 67] for n>70

EXAMPLE

Some solutions for n=7 k=7

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

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

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

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

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

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

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

CROSSREFS

Column 1 is A000079(n-1).

Column 2 is A297883.

Column 3 is A298289.

Column 4 is A298290.

Sequence in context: A270246 A297889 A298294 * A298494 A299187 A299948

Adjacent sequences:  A299385 A299386 A299387 * A299389 A299390 A299391

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 09 2018

STATUS

approved

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Last modified October 27 19:59 EDT 2020. Contains 338036 sequences. (Running on oeis4.)