A282787 Number of n X 4 0..1 arrays with no 1 equal to more than one of its king-move neighbors, with the exception of exactly one element.

2, 16, 318, 1952, 16584, 119176, 832218, 5780340, 39020884, 260919192, 1725189008, 11301829056, 73518360532, 475188725292, 3055000301306, 19549420762100, 124588203699132, 791140457595836, 5007656160113482, 31605725372441888

Offset

1,1

Comments

Column 4 of A282791.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +28*a(n-2) +26*a(n-3) -404*a(n-4) -1508*a(n-5) -2631*a(n-6) -1242*a(n-7) +1650*a(n-8) +5880*a(n-9) +5486*a(n-10) +2762*a(n-11) -2635*a(n-12) -3886*a(n-13) -3543*a(n-14) -896*a(n-15) -39*a(n-16) +322*a(n-17) -49*a(n-18).

Example

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

Crossrefs

Cf. A282791.

Sequence in context: A189058 A189189 A188867 * A137729 A278589 A171212

Adjacent sequences: A282784 A282785 A282786 * A282788 A282789 A282790

Keyword

nonn

Author

R. H. Hardin, Feb 21 2017

Status

approved