A282588 Number of nX3 0..1 arrays with no 1 equal to more than two of its king-move neighbors, with the exception of exactly two elements.

0, 4, 84, 533, 4083, 28060, 184242, 1182850, 7409734, 45609366, 276724198, 1658667528, 9840740297, 57872157985, 337740023639, 1957812305494, 11281512922724, 64661940248355, 368849449666421, 2094922016941952

Offset

1,2

Comments

Column 3 of A282593.

Links

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

Formula

Empirical: a(n) = 15*a(n-1) -69*a(n-2) +62*a(n-3) +96*a(n-4) +756*a(n-5) -1957*a(n-6) -768*a(n-7) -354*a(n-8) +10259*a(n-9) -6393*a(n-10) -2754*a(n-11) -8562*a(n-12) +16887*a(n-13) -12150*a(n-14) +829*a(n-15) +13200*a(n-16) -11862*a(n-17) +3042*a(n-18) +1776*a(n-19) -3528*a(n-20) +1396*a(n-21) +72*a(n-22) -216*a(n-23) +216*a(n-24)

Example

Some solutions for n=4
..0..0..1. .1..1..0. .1..0..1. .0..1..1. .1..0..1. .0..0..1. .1..1..1
..1..1..0. .0..0..1. .0..0..1. .0..0..0. .1..0..1. .1..1..0. .1..0..1
..0..1..0. .0..0..1. .0..1..1. .0..1..1. .1..0..1. .0..1..0. .0..0..1
..1..0..1. .1..1..1. .1..0..0. .1..1..0. .1..1..0. .0..0..1. .0..0..0

Crossrefs

Cf. A282593.

Sequence in context: A231741 A359861 A172138 * A178208 A069441 A203095

Adjacent sequences: A282585 A282586 A282587 * A282589 A282590 A282591

Keyword

nonn

Author

R. H. Hardin, Feb 19 2017

Status

approved