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A298289 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 4 or 6 king-move adjacent elements, with upper left element zero. 2
4, 13, 20, 26, 43, 72, 115, 189, 318, 526, 874, 1473, 2482, 4185, 7085, 12032, 20448, 34806, 59371, 101370, 173225, 296379, 507516, 869590, 1491114, 2558507, 4392128, 7543859, 12963607, 22286228, 38328852, 65945748, 113501565, 195419152 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A298294.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) -a(n-2) +2*a(n-3) -11*a(n-4) +4*a(n-6) +16*a(n-7) +5*a(n-8) -5*a(n-9) -14*a(n-10) -7*a(n-11) -6*a(n-12) +3*a(n-14) +8*a(n-15) +6*a(n-16) +4*a(n-17) for n>19

EXAMPLE

Some solutions for n=7

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

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

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

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

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

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

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

CROSSREFS

Cf. A298294.

Sequence in context: A241264 A066993 A297884 * A298489 A299182 A030744

Adjacent sequences:  A298286 A298287 A298288 * A298290 A298291 A298292

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 16 2018

STATUS

approved

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Last modified November 29 18:41 EST 2021. Contains 349416 sequences. (Running on oeis4.)