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A305245 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 4 or 8 king-move adjacent elements, with upper left element zero. 7
1, 2, 2, 4, 4, 4, 8, 12, 12, 8, 16, 24, 18, 24, 16, 32, 64, 32, 32, 64, 32, 64, 184, 86, 94, 86, 184, 64, 128, 432, 158, 273, 273, 158, 432, 128, 256, 1088, 343, 767, 1134, 767, 343, 1088, 256, 512, 2944, 721, 2128, 3288, 3288, 2128, 721, 2944, 512, 1024, 7360, 1520 (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

...2....4...12....24.....64.....184.....432.....1088......2944.......7360

...4...12...18....32.....86.....158.....343......721......1520.......3228

...8...24...32....94....273.....767....2128.....6150.....17387......49477

..16...64...86...273...1134....3288...11731....39986....136448.....468584

..32..184..158...767...3288...12521...55039...238455...1028982....4474894

..64..432..343..2128..11731...55039..311014..1742187...9652212...54215925

.128.1088..721..6150..39986..238455.1742187.12726939..91021791..667854447

.256.2944.1520.17387.136448.1028982.9652212.91021791.841464188.8000379451

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..337

FORMULA

Empirical for column k:

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

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

k=3: [order 8] for n>11

k=4: [order 28] for n>32

k=5: [order 34] for n>42

k=6: [order 98] for n>104

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000079(n-1).

Column 2 is A303794.

Sequence in context: A320196 A033740 A303800 * A304479 A316304 A304848

Adjacent sequences:  A305242 A305243 A305244 * A305246 A305247 A305248

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, May 28 2018

STATUS

approved

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Last modified October 21 01:15 EDT 2021. Contains 348122 sequences. (Running on oeis4.)