A298722 Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 5 or 8 king-move adjacent elements, with upper left element zero.

1, 7, 5, 15, 21, 57, 119, 285, 725, 1833, 4807, 12843, 34439, 93327, 254085, 693267, 1896489, 5194309, 14237415, 39049277, 107136761, 294009425, 806965323, 2215076227, 6080649203, 16692824711, 45826947389, 125811287255, 345400728813

Offset

1,2

Comments

Column 3 of A298727.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -5*a(n-2) -5*a(n-3) -2*a(n-4) +18*a(n-5) +14*a(n-6) -30*a(n-7) -8*a(n-8) -22*a(n-9) +4*a(n-10) +84*a(n-11) +3*a(n-12) -33*a(n-13) -9*a(n-14) -21*a(n-15) +4*a(n-16) +4*a(n-17) for n>18

Example

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

Crossrefs

Cf. A298727.

Sequence in context: A265794 A265818 A046557 * A299556 A282978 A125719

Adjacent sequences: A298719 A298720 A298721 * A298723 A298724 A298725

Keyword

nonn

Author

R. H. Hardin, Jan 25 2018

Status

approved