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A298254 Number of nX3 0..1 arrays with every element equal to 2, 3, 5 or 8 king-move adjacent elements, with upper left element zero. 2
0, 3, 1, 4, 3, 7, 14, 35, 89, 242, 643, 1713, 4584, 12341, 33393, 90828, 247775, 677335, 1853786, 5076655, 13907485, 38106762, 104424087, 286173877, 784293860, 2149515757, 5891305033, 16146865524, 44255648343, 121297428367, 332457355358 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 3 of A298259.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) +3*a(n-2) -7*a(n-3) -14*a(n-4) +2*a(n-5) +34*a(n-6) +16*a(n-7) -20*a(n-8) -48*a(n-9) -50*a(n-10) +36*a(n-11) +89*a(n-12) +39*a(n-13) +3*a(n-14) -9*a(n-15) -14*a(n-16) +2*a(n-18) for n>19

EXAMPLE

Some solutions for n=7

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

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

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

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

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

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

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

CROSSREFS

Cf. A298259.

Sequence in context: A035626 A082587 A060043 * A337588 A316402 A054907

Adjacent sequences:  A298251 A298252 A298253 * A298255 A298256 A298257

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 15 2018

STATUS

approved

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Last modified January 29 05:09 EST 2022. Contains 350672 sequences. (Running on oeis4.)