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, 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

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 A381343

Adjacent sequences: A299566 A299567 A299568 * A299570 A299571 A299572

Keyword

nonn

Author

R. H. Hardin, Feb 13 2018

Status

approved