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A224651
T(n,k)=Number of (n+2)X(k+2) 0..1 matrices with each 3X3 subblock having the same population
9
512, 1280, 1280, 3200, 2688, 3200, 8000, 5696, 5696, 8000, 22400, 12320, 10304, 12320, 22400, 62720, 31232, 19328, 19328, 31232, 62720, 175616, 80160, 44096, 31616, 44096, 80160, 175616, 514304, 209216, 103232, 64256, 64256, 103232, 209216
OFFSET
1,1
COMMENTS
Table starts
.....512....1280....3200....8000...22400...62720..175616...514304..1506176
....1280....2688....5696...12320...31232...80160..209216...587424..1660544
....3200....5696...10304...19328...44096..103232..250304...672320..1832000
....8000...12320...19328...31616...64256..135872..303488...775232..2028416
...22400...31232...44096...64256..115328..215744..430208..1012928..2472320
...62720...80160..103232..135872..215744..356352..630080..1352064..3050048
..175616..209216..250304..303488..430208..630080..983168..1890368..3876992
..514304..587424..672320..775232.1012928.1352064.1890368..3220992..5860928
.1506176.1660544.1832000.2028416.2472320.3050048.3876992..5860928..9400448
.4410944.4729760.5072000.5447168.6281600.7286336.8594432.11658176.16540160
LINKS
FORMULA
Empirical recurrences for column k:
k=1: order 8
k=2..4: same order 20
k=5: order 21
EXAMPLE
Some solutions for n=2 k=4
..1..1..0..1..1..0....0..0..1..0..1..0....1..0..0..1..0..0....1..1..1..0..1..1
..0..1..1..1..0..0....1..1..0..1..0..1....0..0..1..1..0..0....0..1..0..0..1..1
..1..0..0..0..1..1....1..1..0..1..1..0....1..1..0..0..1..1....0..0..1..1..0..0
..0..1..1..0..1..1....0..0..1..0..1..0....0..0..1..0..0..1....1..1..1..0..1..1
CROSSREFS
Sequence in context: A234879 A202454 A230543 * A224644 A258726 A220583
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Apr 13 2013
STATUS
approved