A304144 Number of nX3 0..1 arrays with every element unequal to 1, 2, 3 or 6 king-move adjacent elements, with upper left element zero.

1, 14, 18, 25, 113, 238, 359, 1309, 3091, 5173, 15475, 39432, 72084, 189527, 495712, 981404, 2379279, 6211445, 13097776, 30387724, 77976438, 172291180, 391956305, 983542082, 2243798047, 5079682165, 12475410712, 29036847557, 65931275352

Offset

1,2

Comments

Column 3 of A304149.

Links

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

Formula

Empirical: a(n) = a(n-1) +3*a(n-2) +11*a(n-3) -5*a(n-4) -39*a(n-5) -29*a(n-6) +4*a(n-7) +42*a(n-8) +15*a(n-9) +12*a(n-10) -2*a(n-11) -4*a(n-12) -16*a(n-13) -8*a(n-14) for n>16

Example

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

Crossrefs

Cf. A304149.

Sequence in context: A051419 A000053 A169871 * A327933 A079349 A355041

Adjacent sequences: A304141 A304142 A304143 * A304145 A304146 A304147

Keyword

nonn

Author

R. H. Hardin, May 07 2018

Status

approved