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A299569 Number of nX3 0..1 arrays with every element equal to 1, 2, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero. 1
1, 7, 15, 25, 47, 113, 265, 621, 1473, 3443, 8093, 19107, 45119, 106635, 251959, 595465, 1407719, 3328477, 7871557, 18617533, 44037365, 104173407, 246445341, 583054499, 1379487511, 3263943687, 7722913379, 18273883713, 43240415955 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 3 of A299574.

LINKS

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

FORMULA

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

EXAMPLE

Some solutions for n=8

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

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

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

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

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

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

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

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

CROSSREFS

Cf. A299574.

Sequence in context: A268662 A297954 A298577 * A260558 A154935 A012480

Adjacent sequences:  A299566 A299567 A299568 * A299570 A299571 A299572

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 13 2018

STATUS

approved

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Last modified July 5 15:05 EDT 2022. Contains 355099 sequences. (Running on oeis4.)