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A296952 T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 1, 3 or 5 king-move neighboring 1s. 8
1, 2, 2, 3, 8, 3, 4, 16, 16, 4, 6, 36, 45, 36, 6, 9, 112, 135, 135, 112, 9, 13, 256, 544, 620, 544, 256, 13, 19, 608, 1765, 3637, 3637, 1765, 608, 19, 28, 1680, 5763, 17450, 37179, 17450, 5763, 1680, 28, 41, 4064, 20811, 86139, 256713, 256713, 86139, 20811, 4064 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

..1....2.....3.......4.........6..........9...........13............19

..2....8....16......36.......112........256..........608..........1680

..3...16....45.....135.......544.......1765.........5763.........20811

..4...36...135.....620......3637......17450........86139........451210

..6..112...544....3637.....37179.....256713......1898178......16087936

..9..256..1765...17450....256713....2640993.....29067775.....356242817

.13..608..5763...86139...1898178...29067775....482228052....8786244680

.19.1680.20811..451210..16087936..356242817...8786244680..246430289779

.28.4064.70207.2267574.121741279.4007327435.148081034460.6194343019644

LINKS

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

FORMULA

Empirical for column k:

k=1: a(n) = a(n-1) +a(n-3)

k=2: a(n) = 2*a(n-1) +8*a(n-3) -12*a(n-4)

k=3: [order 19]

k=4: [order 46]

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000930(n+1).

Sequence in context: A327259 A295943 A296804 * A141611 A234357 A145596

Adjacent sequences:  A296949 A296950 A296951 * A296953 A296954 A296955

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 22 2017

STATUS

approved

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Last modified August 11 10:15 EDT 2022. Contains 356065 sequences. (Running on oeis4.)