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A226852
T(n,k) is the number of n X k (0,1,2) arrays of permanents of 2 X 2 subblocks of some (n+1) X (k+1) binary array.
9
3, 9, 9, 23, 71, 23, 57, 417, 417, 57, 145, 2291, 4722, 2291, 145, 373, 12961, 49481, 49481, 12961, 373, 957, 75111, 541932, 989731, 541932, 75111, 957, 2449, 435829, 6076168, 20749217, 20749217, 6076168, 435829, 2449, 6267, 2516107, 67929575
OFFSET
1,1
COMMENTS
Table starts
......3..........9.............23...............57...............145
......9.........71............417.............2291.............12961
.....23........417...........4722............49481............541932
.....57.......2291..........49481...........989731..........20749217
....145......12961.........541932.........20749217.........838184554
....373......75111........6076168........443724135.......34632124236
....957.....435829.......67929575.......9461306257.....1426163794260
...2449....2516107......756046291.....201065855279....58502335399707
...6267...14498679.....8410591772....4271553412923..2398927985473786
..16045...83596597....93621762980...90781653057341.98415203461205054
..41083..482294269..1042359550109.1929581833121135
.105185.2782594803.11604658170466
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 3*a(n-1) -2*a(n-2) +2*a(n-3) +a(n-4) -a(n-5)
k=2: [order 19]
k=3: [order 51]
EXAMPLE
Some solutions for n=3 k=4
..0..1..0..0....1..0..1..1....0..0..1..1....0..0..1..0....1..1..1..0
..2..0..0..1....1..1..2..1....2..1..1..1....0..0..1..0....1..1..2..1
..1..1..1..0....0..0..1..1....2..1..1..2....1..1..2..2....1..2..1..1
CROSSREFS
Sequence in context: A223892 A223789 A223975 * A207235 A207228 A207015
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jun 19 2013
STATUS
approved