A303797 Number of nX5 0..1 arrays with every element unequal to 0, 1, 2 or 4 king-move adjacent elements, with upper left element zero.

16, 64, 70, 231, 562, 1406, 2829, 7014, 16337, 38826, 88805, 212475, 497950, 1172384, 2743484, 6481122, 15220337, 35799435, 84126471, 198051064, 465547526, 1094919815, 2574744067, 6056506720, 14241574199, 33493922931, 78769404889

Offset

1,1

Comments

Column 5 of A303800.

Links

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

Formula

Empirical: a(n) = a(n-1) +3*a(n-2) +a(n-3) +6*a(n-4) -11*a(n-5) -18*a(n-6) +7*a(n-7) -4*a(n-8) +2*a(n-9) +24*a(n-10) -4*a(n-11) +3*a(n-12) +5*a(n-13) -10*a(n-14) +a(n-15) -4*a(n-16) -a(n-17) +a(n-18) for n>24

Example

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

Crossrefs

Cf. A303800.

Sequence in context: A322032 A090567 A255660 * A118902 A092210 A320892

Adjacent sequences: A303794 A303795 A303796 * A303798 A303799 A303800

Keyword

nonn

Author

R. H. Hardin, Apr 30 2018

Status

approved