A299176 Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3, 6 or 7 king-move adjacent elements, with upper left element zero.

8, 85, 205, 649, 2153, 7016, 22819, 73931, 239461, 777197, 2523034, 8188618, 26573796, 86235511, 279858388, 908244102, 2947587609, 9565980797, 31045039874, 100752470139, 326979037002, 1061168684227, 3443888186471, 11176703761069

Offset

1,1

Comments

Column 4 of A299180.

Links

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

Formula

Empirical: a(n) = 6*a(n-1) -10*a(n-2) +6*a(n-3) -15*a(n-4) +31*a(n-5) -44*a(n-6) +33*a(n-7) +22*a(n-8) +97*a(n-9) -84*a(n-10) -139*a(n-11) -109*a(n-12) +111*a(n-13) +183*a(n-14) -32*a(n-15) +12*a(n-16) -113*a(n-17) +47*a(n-18) +33*a(n-19) -40*a(n-20) +26*a(n-21) -20*a(n-22) for n>28

Example

Some solutions for n=6
..0..1..0..0. .0..1..0..0. .0..0..1..0. .0..1..1..1. .0..0..0..0
..0..0..0..1. .0..0..0..1. .1..0..0..0. .0..1..0..0. .1..1..0..1
..1..0..0..0. .1..0..0..0. .0..0..0..1. .0..0..0..1. .0..1..1..1
..0..0..0..1. .0..0..0..1. .1..0..0..0. .1..0..0..0. .1..1..1..0
..0..1..0..0. .1..0..0..0. .0..0..0..1. .0..0..0..1. .0..1..1..1
..0..1..1..1. .0..0..1..0. .0..1..0..0. .0..1..0..0. .1..1..0..1

Crossrefs

Cf. A299180.

Sequence in context: A245197 A281340 A298283 * A093103 A288691 A300675

Adjacent sequences: A299173 A299174 A299175 * A299177 A299178 A299179

Keyword

nonn

Author

R. H. Hardin, Feb 04 2018

Status

approved