A282476 Number of nX3 0..1 arrays with no 1 equal to more than three of its king-move neighbors, with the exception of exactly two elements.

0, 5, 40, 483, 4328, 36425, 297210, 2327123, 17768964, 132986406, 978703597, 7105001436, 50987747977, 362304776490, 2552515814181, 17848926362232, 123989575656587, 856256223208439, 5882111754640392, 40216030450523925

Offset

1,2

Comments

Column 3 of A282481.

Links

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

Formula

Empirical: a(n) = 15*a(n-1) -60*a(n-2) +38*a(n-3) -417*a(n-4) +2211*a(n-5) +254*a(n-6) +9714*a(n-7) -19866*a(n-8) +11292*a(n-9) -83508*a(n-10) +94758*a(n-11) -162290*a(n-12) +333372*a(n-13) -354804*a(n-14) +698218*a(n-15) -723297*a(n-16) +960537*a(n-17) -1190332*a(n-18) +1011360*a(n-19) -1264665*a(n-20) +756661*a(n-21) -868110*a(n-22) +386904*a(n-23) -278456*a(n-24) +47328*a(n-25) -2976*a(n-26) +64*a(n-27)

Example

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

Crossrefs

Cf. A282481.

Sequence in context: A090362 A201366 A281160 * A198247 A088695 A365779

Adjacent sequences: A282473 A282474 A282475 * A282477 A282478 A282479

Keyword

nonn

Author

R. H. Hardin, Feb 16 2017

Status

approved