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A300937 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 6
1, 2, 2, 4, 7, 4, 8, 18, 18, 8, 16, 50, 52, 50, 16, 32, 138, 143, 143, 138, 32, 64, 383, 412, 505, 412, 383, 64, 128, 1063, 1225, 1534, 1534, 1225, 1063, 128, 256, 2951, 3699, 4781, 6220, 4781, 3699, 2951, 256, 512, 8193, 11243, 15292, 21787, 21787, 15292, 11243 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

...1....2.....4......8......16......32.......64.......128........256

...2....7....18.....50.....138.....383.....1063......2951.......8193

...4...18....52....143.....412....1225.....3699.....11243......34012

...8...50...143....505....1534....4781....15292.....48838.....158036

..16..138...412...1534....6220...21787....77434....287515....1062023

..32..383..1225...4781...21787...97745...399796...1701284....7433503

..64.1063..3699..15292...77434..399796..2038646...9872494...49173493

.128.2951.11243..48838..287515.1701284..9872494..57179007..324488769

.256.8193.34012.158036.1062023.7433503.49173493.324488769.2175995920

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..220

FORMULA

Empirical for column k:

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

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

k=3: [order 24] for n>25

k=4: [order 95] for n>96

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000079(n-1).

Column 2 is A280598.

Column 3 is A300493.

Sequence in context: A280604 A301323 A300498 * A300881 A301491 A208269

Adjacent sequences:  A300934 A300935 A300936 * A300938 A300939 A300940

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Mar 16 2018

STATUS

approved

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Last modified December 2 07:25 EST 2020. Contains 338868 sequences. (Running on oeis4.)