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A298275 Number of nX3 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 king-move adjacent elements, with upper left element zero. 1
1, 18, 129, 873, 6013, 41437, 285280, 1964290, 13524686, 93121972, 641174645, 4414695072, 30396602133, 209290433195, 1441032289599, 9921973168730, 68315992804433, 470377695431660, 3238702495162085, 22299513676118700 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 3 of A298280.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 6*a(n-1) +8*a(n-2) -12*a(n-3) -8*a(n-4) +2*a(n-5) +3*a(n-6) -2*a(n-7) -7*a(n-9) +2*a(n-10) for n>11

EXAMPLE

Some solutions for n=6

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

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

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

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

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

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

CROSSREFS

Cf. A298280.

Sequence in context: A041620 A244879 A142965 * A299137 A299368 A299932

Adjacent sequences: A298272 A298273 A298274 * A298276 A298277 A298278

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 16 2018

STATUS

approved

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Last modified March 31 11:51 EDT 2023. Contains 361648 sequences. (Running on oeis4.)