A317068 Number of nX4 0..1 arrays with every element unequal to 1, 2, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

2, 98, 1161, 16910, 241716, 3449720, 49272887, 703694269, 10049871762, 143528455050, 2049818154527, 29274714197340, 418090207402991, 5971003513309886, 85275575281695947, 1217872962830483355

Offset

1,1

Comments

Column 4 of A317072.

Links

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

Formula

Empirical: a(n) = 11*a(n-1) +41*a(n-2) +89*a(n-3) -48*a(n-4) -333*a(n-5) -623*a(n-6) -225*a(n-7) -129*a(n-8) +156*a(n-9) +110*a(n-10) +454*a(n-11) +212*a(n-12) +29*a(n-13) -78*a(n-14) -12*a(n-15) +12*a(n-16) -16*a(n-17)

Example

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

Crossrefs

Cf. A317072.

Sequence in context: A317218 A053997 A305688 * A316949 A317729 A223038

Adjacent sequences: A317065 A317066 A317067 * A317069 A317070 A317071

Keyword

nonn

Author

R. H. Hardin, Jul 20 2018

Status

approved