A224651 T(n,k)=Number of (n+2)X(k+2) 0..1 matrices with each 3X3 subblock having the same population

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

R. H. Hardin, Table of n, a(n) for n = 1..198

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

Adjacent sequences: A224648 A224649 A224650 * A224652 A224653 A224654

Keyword

nonn,tabl

Author

R. H. Hardin Apr 13 2013

Status

approved