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A241138 T(n,k)=Number of nXk 0..2 arrays with no element equal to the same number of vertical neighbors as horizontal neighbors, with new values 0..2 introduced in row major order 6
0, 1, 1, 1, 2, 1, 2, 5, 5, 2, 3, 17, 24, 17, 3, 6, 56, 152, 152, 56, 6, 11, 195, 935, 1670, 935, 195, 11, 22, 691, 6150, 19619, 19619, 6150, 691, 22, 43, 2476, 40504, 238607, 434444, 238607, 40504, 2476, 43, 86, 8941, 269481, 2939027, 9958520, 9958520, 2939027 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

..0.....1........1..........2.............3..............6..............11

..1.....2........5.........17............56............195.............691

..1.....5.......24........152...........935...........6150...........40504

..2....17......152.......1670.........19619.........238607.........2939027

..3....56......935......19619........434444........9958520.......230889822

..6...195.....6150.....238607.......9958520......428855442.....18742128588

.11...691....40504....2939027.....230889822....18742128588...1546330012544

.22..2476...269481...36470565....5392206371...825015103540.128518782423157

.43..8941..1797120..454209512..126282435834.36426835430201

.86.32393.12006500.5665536042.2961490680709

LINKS

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

FORMULA

Empirical for column k:

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

k=2: a(n) = 4*a(n-1) +2*a(n-2) -11*a(n-3) -6*a(n-4) +8*a(n-5) for n>6

k=3: [order 26] for n>27

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 1 is A005578(n-2)

Sequence in context: A228815 A241555 A277741 * A241349 A330405 A111934

Adjacent sequences:  A241135 A241136 A241137 * A241139 A241140 A241141

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Apr 16 2014

STATUS

approved

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Last modified April 10 18:49 EDT 2021. Contains 342853 sequences. (Running on oeis4.)