A277659 T(n,k)=Number of nXk 0..2 arrays with every element equal to some element at offset (-1,0) (-1,1) (0,-1) (0,1) or (1,0) both plus 1 mod 3 and minus 1 mod 3, with new values introduced in order 0..2.

0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 4, 2, 0, 0, 8, 47, 47, 8, 0, 0, 28, 356, 988, 356, 28, 0, 0, 98, 2928, 18754, 18754, 2928, 98, 0, 0, 346, 23375, 376200, 853778, 376200, 23375, 346, 0, 0, 1218, 189336, 7393463, 41272404, 41272404, 7393463, 189336, 1218, 0, 0, 4290

Offset

1,12

Comments

Table starts

.0....0........0...........0...............0................0.................0

.0....0........1...........2...............8...............28................98

.0....1........4..........47.............356.............2928.............23375

.0....2.......47.........988...........18754...........376200...........7393463

.0....8......356.......18754..........853778.........41272404........1939853778

.0...28.....2928......376200........41272404.......4770227060......541407069559

.0...98....23375.....7393463......1939853778.....541407069559...147555355904302

.0..346...189336...146226480.....92010224525...61782920451544.40507831420784920

.0.1218..1527478..2887603008...4354590810315.7039498755007500

.0.4290.12337033.57051216021.206242664480842

Links

R. H. Hardin, Table of n, a(n) for n = 1..112

Formula

Empirical for column k:

k=2: a(n) = 3*a(n-1) +2*a(n-2) -2*a(n-4)

k=3: [order 23]

Example

Some solutions for n=4 k=4
..0..1..2..0. .0..1..2..1. .0..1..2..1. .0..1..2..0. .0..1..2..0
..2..2..0..1. .2..1..0..0. .2..2..0..0. .2..1..0..1. .2..2..2..1
..1..0..1..2. .2..0..1..2. .2..1..0..2. .2..1..0..2. .1..0..0..2
..0..2..1..0. .2..1..0..1. .0..2..0..1. .0..2..1..0. .1..2..0..1

Crossrefs

Sequence in context: A320364 A318222 A209466 * A331144 A258711 A127278

Adjacent sequences: A277656 A277657 A277658 * A277660 A277661 A277662

Keyword

nonn,tabl

Author

R. H. Hardin, Oct 26 2016

Status

approved