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A298315 Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4 or 6 king-move adjacent elements, with upper left element zero. 2
3, 3, 3, 9, 17, 48, 94, 234, 589, 1333, 3352, 8249, 19791, 49537, 121580, 298541, 742378, 1829015, 4522372, 11211918, 27706062, 68616420, 169961599, 420628570, 1041975554, 2580637115, 6390580550, 15830521413, 39209427019, 97117538254 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A298320.

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) +4*a(n-2) +12*a(n-3) -15*a(n-4) -40*a(n-5) -53*a(n-6) +62*a(n-7) +133*a(n-8) +92*a(n-9) -92*a(n-10) -146*a(n-11) -11*a(n-12) +102*a(n-13) +49*a(n-14) -49*a(n-15) -64*a(n-16) -48*a(n-17) for n>18

EXAMPLE

Some solutions for n=7

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

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

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

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

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

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

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

CROSSREFS

Cf. A298320.

Sequence in context: A231753 A231663 A180439 * A299189 A231651 A160589

Adjacent sequences:  A298312 A298313 A298314 * A298316 A298317 A298318

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 17 2018

STATUS

approved

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Last modified September 27 19:04 EDT 2020. Contains 337388 sequences. (Running on oeis4.)