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A304848 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 4 or 7 king-move adjacent elements, with upper left element zero. 7
1, 2, 2, 4, 4, 4, 8, 12, 12, 8, 16, 24, 25, 24, 16, 32, 64, 51, 51, 64, 32, 64, 184, 165, 132, 165, 184, 64, 128, 432, 419, 502, 502, 419, 432, 128, 256, 1088, 1009, 1638, 3009, 1638, 1009, 1088, 256, 512, 2944, 2697, 4816, 12763, 12763, 4816, 2697, 2944, 512, 1024 (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...25....51....165.....419.....1009......2697........7091........18147

...8...24...51...132....502....1638.....4816.....15697.......51711.......162366

..16...64..165...502...3009...12763....45988....205950......912997......3690448

..32..184..419..1638..12763...67025...294924...1719748.....9770201.....48882277

..64..432.1009..4816..45988..294924..1500288..10862979....74522808....445537503

.128.1088.2697.15697.205950.1719748.10862979.105482136...961899269...7444841268

.256.2944.7091.51711.912997.9770201.74522808.961899269.11448808957.111429411031

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..263

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 11] for n>12

k=4: [order 34] for n>38

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000079(n-1).

Column 2 is A303794.

Sequence in context: A305245 A304479 A316304 * A316545 A306060 A317238

Adjacent sequences:  A304845 A304846 A304847 * A304849 A304850 A304851

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, May 19 2018

STATUS

approved

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Last modified September 16 23:53 EDT 2021. Contains 347477 sequences. (Running on oeis4.)