A297097 Number of nX3 0..1 arrays with no 1 adjacent to 4 king-move neighboring 1s.

8, 58, 351, 2258, 14566, 93654, 602723, 3879430, 24968616, 160704029, 1034334465, 6657250344, 42847832116, 275780068038, 1774994012090, 11424334508313, 73530061800721, 473259075639862, 3046021548090702, 19605006538323943

Offset

1,1

Comments

Column 3 of A297102.

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -11*a(n-2) +20*a(n-3) -107*a(n-4) +115*a(n-5) -97*a(n-6) +458*a(n-7) -372*a(n-8) +65*a(n-9) -708*a(n-10) +408*a(n-11) +327*a(n-12) +361*a(n-13) -409*a(n-14) -68*a(n-15) -49*a(n-16) +10*a(n-17) +45*a(n-18) -12*a(n-19) +14*a(n-20)

Example

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

Crossrefs

Cf. A297102.

Sequence in context: A026948 A111585 A055839 * A081897 A125371 A162272

Adjacent sequences: A297094 A297095 A297096 * A297098 A297099 A297100

Keyword

nonn

Author

R. H. Hardin, Dec 25 2017

Status

approved