A296647 Number of nX4 0..1 arrays with each 1 adjacent to 0, 1 or 3 king-move neighboring 1s.

13, 85, 468, 3159, 20782, 130303, 849983, 5499124, 35347256, 228635279, 1476475552, 9526162672, 61524431404, 397230521807, 2564403167359, 16557684534289, 106902568041821, 690192741799890, 4456188932450215

Offset

1,1

Comments

Column 4 of A296651.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +14*a(n-2) +79*a(n-3) -76*a(n-4) -416*a(n-5) -956*a(n-6) -474*a(n-7) +2279*a(n-8) +3884*a(n-9) +4165*a(n-10) -656*a(n-11) -3621*a(n-12) -3321*a(n-13) -1970*a(n-14) +654*a(n-15) -339*a(n-16) +359*a(n-17) +20*a(n-18) +188*a(n-19) +377*a(n-20) +44*a(n-21) +37*a(n-22)

Example

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

Crossrefs

Cf. A296651.

Sequence in context: A010025 A001848 A055843 * A233325 A003764 A221338

Adjacent sequences: A296644 A296645 A296646 * A296648 A296649 A296650

Keyword

nonn

Author

R. H. Hardin, Dec 17 2017

Status

approved