A317148 Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

4, 14, 36, 102, 389, 1251, 4091, 13931, 46536, 155280, 521208, 1746936, 5849787, 19606077, 65709643, 220178291, 737853898, 2472724886, 8286395276, 27769017024, 93059002391, 311855992599, 1045081241871, 3502246009797, 11736618574344

Offset

1,1

Comments

Column 3 of A317153.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +5*a(n-2) +10*a(n-3) -22*a(n-4) -56*a(n-5) -48*a(n-6) +100*a(n-7) +180*a(n-8) +100*a(n-9) -158*a(n-10) -172*a(n-11) -21*a(n-12) +38*a(n-13) -33*a(n-14) -36*a(n-15) for n>16

Example

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

Crossrefs

Cf. A317153.

Sequence in context: A341384 A394572 A258343 * A027166 A126943 A209399

Adjacent sequences: A317145 A317146 A317147 * A317149 A317150 A317151

Keyword

nonn

Author

R. H. Hardin, Jul 22 2018

Status

approved