A316306 Number of nX3 0..1 arrays with every element unequal to 0, 1, 3, 4, 6 or 8 king-move adjacent elements, with upper left element zero.

3, 7, 10, 21, 44, 83, 168, 365, 766, 1615, 3490, 7555, 16450, 36279, 80602, 180187, 405906, 920301, 2097902, 4807235, 11066060, 25572903, 59300268, 137919877, 321585732, 751461855, 1759215072, 4124852047, 9684327044, 22762103611

Offset

1,1

Comments

Column 3 of A316311.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) -4*a(n-2) +5*a(n-3) -16*a(n-4) +12*a(n-5) -7*a(n-6) +18*a(n-7) -14*a(n-8) +12*a(n-9) +2*a(n-10) +11*a(n-11) -13*a(n-12) -10*a(n-13) -5*a(n-14) -2*a(n-15) +4*a(n-16)

Example

Some solutions for n=5
..0..1..1. .0..0..0. .0..0..1. .0..0..0. .0..0..0. .0..0..1. .0..1..1
..0..0..1. .1..0..0. .0..0..0. .0..0..0. .0..0..0. .0..1..1. .1..1..1
..0..0..0. .1..1..0. .0..0..0. .1..0..0. .0..0..0. .0..0..0. .1..1..1
..0..0..0. .0..0..0. .0..0..0. .1..1..0. .0..0..0. .1..1..0. .1..0..1
..0..0..0. .1..0..0. .0..0..1. .1..1..1. .1..0..0. .1..0..0. .1..1..1

Crossrefs

Cf. A316311.

Sequence in context: A345891 A279912 A305477 * A317261 A363643 A024464

Adjacent sequences: A316303 A316304 A316305 * A316307 A316308 A316309

Keyword

nonn

Author

R. H. Hardin, Jun 29 2018

Status

approved