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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. 7
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 (list; table; graph; refs; listen; history; text; internal format)
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: A058672 A278215 A209466 * A258711 A127278 A202069

Adjacent sequences:  A277656 A277657 A277658 * A277660 A277661 A277662

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Oct 26 2016

STATUS

approved

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Last modified February 25 22:27 EST 2018. Contains 299662 sequences. (Running on oeis4.)