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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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Apr 16 2014
STATUS
approved

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Last modified March 2 19:19 EST 2024. Contains 370498 sequences. (Running on oeis4.)