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A233073 T(n,k)=Number of nXk 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 in row major order 7
1, 2, 2, 5, 9, 5, 14, 50, 50, 14, 41, 289, 582, 289, 41, 122, 1682, 6854, 6854, 1682, 122, 365, 9801, 80811, 164495, 80811, 9801, 365, 1094, 57122, 952869, 3957778, 3957778, 952869, 57122, 1094, 3281, 332929, 11235652, 95264272, 194998895, 95264272 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Table starts
....1........2...........5.............14................41
....2........9..........50............289..............1682
....5.......50.........582...........6854.............80811
...14......289........6854.........164495...........3957778
...41.....1682.......80811........3957778.........194998895
..122.....9801......952869.......95264272........9622519979
..365....57122....11235652.....2293174089......475027244071
.1094...332929...132484030....55201144642....23452561697310
.3281..1940450..1562171807..1328800293991..1157902539075279
.9842.11309769.18420188169.31986846738550.57168401542703366
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 4*a(n-1) -3*a(n-2)
k=2: a(n) = 7*a(n-1) -7*a(n-2) +a(n-3)
k=3: a(n) = 14*a(n-1) -28*a(n-2) +24*a(n-3) -11*a(n-4) +2*a(n-5) for n>6
k=4: [order 11] for n>12
k=5: [order 21] for n>23
k=6: [order 58] for n>60
EXAMPLE
Some solutions for n=4 k=4
..0..0..1..0....0..0..1..1....0..0..0..0....0..1..0..1....0..0..1..1
..1..1..0..0....0..0..1..0....1..0..2..2....1..0..0..0....0..1..1..1
..1..1..0..2....0..1..1..1....1..0..2..2....1..0..0..1....0..1..0..0
..0..1..0..2....1..3..1..3....1..0..0..2....0..0..1..1....0..0..0..2
CROSSREFS
Column 1 is A007051(n-1)
Column 2 is A115599
Sequence in context: A011273 A274068 A274065 * A275266 A223387 A278386
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 03 2013
STATUS
approved

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Last modified June 20 16:01 EDT 2024. Contains 373526 sequences. (Running on oeis4.)