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A299189 Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero. 2
3, 3, 3, 9, 19, 59, 129, 355, 891, 2317, 6019, 15543, 40557, 105639, 274475, 716909, 1868955, 4870915, 12717105, 33177547, 86555071, 225940757, 589641087, 1538803595, 4016626149, 10483511171, 27362265959, 71420814253, 186418208451 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A299194.

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) +4*a(n-2) +13*a(n-3) -13*a(n-4) -46*a(n-5) -59*a(n-6) +53*a(n-7) +153*a(n-8) +98*a(n-9) -60*a(n-10) -140*a(n-11) -7*a(n-12) +67*a(n-13) +15*a(n-14) -78*a(n-15) -48*a(n-16) -32*a(n-17) for n>18

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A299194.

Sequence in context: A231663 A180439 A298315 * A231651 A160589 A097707

Adjacent sequences:  A299186 A299187 A299188 * A299190 A299191 A299192

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 04 2018

STATUS

approved

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Last modified August 10 04:38 EDT 2020. Contains 336368 sequences. (Running on oeis4.)