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A298058 Number of nX3 0..1 arrays with every element equal to 1, 3, 4 or 6 king-move adjacent elements, with upper left element zero. 1
0, 3, 0, 2, 6, 13, 22, 68, 132, 323, 790, 1724, 4158, 10007, 22770, 54346, 129582, 301431, 715256, 1697866, 3987490, 9441255, 22363356, 52732570, 124755460, 295222595, 697290424, 1649165304, 3900971604, 9220090253, 21804026010 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 3 of A298063.

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) +2*a(n-2) +12*a(n-3) -8*a(n-4) -20*a(n-5) -50*a(n-6) +12*a(n-7) +61*a(n-8) +87*a(n-9) +13*a(n-10) -74*a(n-11) -50*a(n-12) -8*a(n-13) +45*a(n-14) +8*a(n-15) +2*a(n-16) -12*a(n-17) for n>18

EXAMPLE

Some solutions for n=9

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

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

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

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

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

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

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

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

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

CROSSREFS

Cf. A298063.

Sequence in context: A135040 A048733 A309973 * A298707 A274417 A208764

Adjacent sequences:  A298055 A298056 A298057 * A298059 A298060 A298061

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 11 2018

STATUS

approved

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Last modified December 1 11:38 EST 2021. Contains 349429 sequences. (Running on oeis4.)