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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 (list; table; graph; refs; listen; history; text; internal format)
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

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

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

Adjacent sequences:  A226849 A226850 A226851 * A226853 A226854 A226855

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jun 19 2013

STATUS

approved

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Last modified September 19 06:16 EDT 2020. Contains 337177 sequences. (Running on oeis4.)