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A277788 T(n,k)=Number of nXk 0..2 arrays with every element equal to some element at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) (1,-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, 3, 0, 0, 12, 12, 0, 0, 84, 80, 84, 0, 0, 498, 1434, 1434, 498, 0, 0, 3090, 20663, 79092, 20663, 3090, 0, 0, 18930, 309612, 3182256, 3182256, 309612, 18930, 0, 0, 116382, 4604554, 137510661, 352957610, 137510661, 4604554, 116382, 0, 0, 714810 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

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

.0......3.........12.............84...............498..................3090

.0.....12.........80...........1434.............20663................309612

.0.....84.......1434..........79092...........3182256.............137510661

.0....498......20663........3182256.........352957610...........42007318111

.0...3090.....309612......137510661.......42007318111........13899171401510

.0..18930....4604554.....5841628899.....4917756016412......4515609963711003

.0.116382...68632481...249237125709...578187054139243...1473737617518590407

.0.714810.1022176517.10621140577245.67894823921434433.480374435720722263006

LINKS

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

FORMULA

Empirical for column k:

k=2: a(n) = 5*a(n-1) +8*a(n-2) -6*a(n-3)

k=3: [order 23] for n>24

k=4: [order 48] for n>50

EXAMPLE

Some solutions for n=4 k=4

..0..1..1..0. .0..1..0..1. .0..1..2..1. .0..1..2..1. .0..1..2..0

..2..2..0..2. .2..1..2..1. .2..0..1..0. .2..1..0..2. .2..0..1..2

..2..0..2..1. .1..0..1..0. .1..0..0..2. .2..2..0..2. .0..2..1..2

..1..2..0..2. .0..2..0..2. .0..2..1..1. .0..1..0..1. .1..2..0..1

CROSSREFS

Sequence in context: A342312 A123474 A321711 * A208848 A277945 A169777

Adjacent sequences:  A277785 A277786 A277787 * A277789 A277790 A277791

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Oct 31 2016

STATUS

approved

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Last modified January 19 08:18 EST 2022. Contains 350464 sequences. (Running on oeis4.)