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A232076 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every element equal to some horizontal, diagonal or antidiagonal neighbor, with top left element zero 15
3, 15, 11, 46, 87, 34, 161, 520, 602, 111, 601, 3681, 6624, 3985, 361, 2208, 26587, 91636, 82996, 26713, 1172, 8053, 189404, 1313477, 2265691, 1043172, 178484, 3809, 29415, 1348429, 18480458, 64298979, 56126173, 13105012, 1193537, 12377, 107534 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......3........15...........46.............161................601

.....11........87..........520............3681..............26587

.....34.......602.........6624...........91636............1313477

....111......3985........82996.........2265691...........64298979

....361.....26713......1043172........56126173.........3154769585

...1172....178484.....13105012......1389867384.......154723539035

...3809...1193537....164650280.....34420057373......7588839921175

..12377...7979619...2068621706....852404560481....372212311236497

..40218..53352090..25989674166..21109624812630..18256039956940439

.130687.356709629.326528021922.522775448585677.895410839428587845

LINKS

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

FORMULA

Empirical for column k:

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

k=2: a(n) = 5*a(n-1) +11*a(n-2) +2*a(n-3) -8*a(n-5)

k=3: [order 10]

k=4: [order 30]

k=5: [order 50]

Empirical for row n:

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

n=2: [order 8]

n=3: [order 20]

n=4: [order 54]

EXAMPLE

Some solutions for n=3 k=4

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

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

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

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

CROSSREFS

Column 1 is A180762(n+1)

Sequence in context: A256557 A145179 A297897 * A099476 A063628 A280201

Adjacent sequences:  A232073 A232074 A232075 * A232077 A232078 A232079

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 17 2013

STATUS

approved

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Last modified September 18 05:32 EDT 2019. Contains 327165 sequences. (Running on oeis4.)