A282834 Number of nX4 0..1 arrays with no 1 equal to more than one of its king-move neighbors, with the exception of exactly two elements.

1, 16, 201, 2376, 17965, 151084, 1172252, 8673640, 63747749, 455684388, 3212866816, 22368251306, 153926106830, 1049611672826, 7098147763461, 47657875724972, 317957754308705, 2109287198397900, 13921714911191471

Offset

1,2

Comments

Column 4 of A282838.

Links

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

Formula

Empirical: a(n) = 6*a(n-1) +36*a(n-2) -49*a(n-3) -1068*a(n-4) -2442*a(n-5) +5188*a(n-6) +46137*a(n-7) +122151*a(n-8) +166572*a(n-9) +43218*a(n-10) -252576*a(n-11) -585854*a(n-12) -567741*a(n-13) -163194*a(n-14) +501202*a(n-15) +813225*a(n-16) +687639*a(n-17) +136470*a(n-18) -261336*a(n-19) -411516*a(n-20) -243659*a(n-21) -86208*a(n-22) +19152*a(n-23) +14146*a(n-24) +5964*a(n-25) -3381*a(n-26) +343*a(n-27)

Example

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

Crossrefs

Cf. A282838.

Sequence in context: A129333 A001810 A016165 * A144632 A221825 A238282

Adjacent sequences: A282831 A282832 A282833 * A282835 A282836 A282837

Keyword

nonn

Author

R. H. Hardin, Feb 22 2017

Status

approved