A299835 Number of nX4 0..1 arrays with every element equal to 1, 2, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

2, 64, 1000, 13850, 198202, 2853873, 41026724, 589665345, 8475712818, 121828795509, 1751145754781, 25170657077961, 361798588649774, 5200429172871619, 74750052326542025, 1074444076986377568

Offset

1,1

Comments

Column 4 of A299839.

Links

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

Formula

Empirical: a(n) = 14*a(n-1) +a(n-2) +68*a(n-3) -24*a(n-4) -702*a(n-5) -151*a(n-6) -1080*a(n-7) +2180*a(n-8) +6939*a(n-9) -2653*a(n-10) -6639*a(n-11) -3139*a(n-12) -3348*a(n-13) +8687*a(n-14) +5803*a(n-15) -5001*a(n-16) -1532*a(n-17) +484*a(n-18) -180*a(n-19) +281*a(n-20) -17*a(n-21) -6*a(n-22) for n>23

Example

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

Crossrefs

Cf. A299839.

Sequence in context: A299138 A299933 A299063 * A299724 A047707 A223121

Adjacent sequences: A299832 A299833 A299834 * A299836 A299837 A299838

Keyword

nonn

Author

R. H. Hardin, Feb 20 2018

Status

approved