A235954 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the upper median value of each 2X2 subblock

81, 294, 294, 905, 722, 905, 2584, 1372, 1372, 2584, 7353, 2660, 1494, 2660, 7353, 20800, 5034, 1780, 1780, 5034, 20800, 58896, 9752, 2478, 2356, 2478, 9752, 58896, 167240, 18468, 3504, 3496, 3496, 3504, 18468, 167240, 474948, 35794, 4884, 5036

Offset

1,1

Comments

Table starts

......81....294...905..2584..7353.20800.58896.167240.474948.1344000.3811120

.....294....722..1372..2660..5034..9752.18468..35794..67924..131474..251786

.....905...1372..1494..1780..2478..3504..4884...6888...9816...13920...19554

....2584...2660..1780..2356..3496..5036..7320..11908..17592...25318...36632

....7353...5034..2478..3496..5358..6728..9260..14016..20570...26912...36512

...20800...9752..3504..5036..6728.10420.14440..23148..33704...52348...72200

...58896..18468..4884..7320..9260.14440.21288..29328..41748...57760...83202

..167240..35794..6888.11908.14016.23148.29328..49860..70224..108252..146640

..474948..67924..9816.17592.20570.33704.41748..70224.114312..134816..190180

.1344000.131474.13920.25318.26912.52348.57760.108252.134816..228100..288800

Links

R. H. Hardin, Table of n, a(n) for n = 1..2591

Formula

Empirical for diagonal and column k:

diagonal: a(n) = 41*a(n-4) -400*a(n-8) for n>13

k=1: a(n) = 8*a(n-3) +36*a(n-4) +48*a(n-6) for n>9

k=2: a(n) = 3*a(n-3) +10*a(n-4) -12*a(n-7) -6*a(n-8) for n>12

k=3: a(n) = 4*a(n-4) for n>13

k=4: a(n) = 5*a(n-4) for n>14

k=5: a(n) = 4*a(n-4) for n>13

k=6: a(n) = 5*a(n-4) for n>14

k=7: a(n) = 4*a(n-4) for n>15

Example

Some solutions for n=5 k=4
..0..1..0..2..1....1..0..0..0..2....1..1..2..1..0....1..2..0..0..1
..0..0..2..0..0....1..0..1..2..1....1..2..0..0..0....2..1..0..1..2
..1..2..1..0..1....0..0..2..1..0....2..1..0..1..2....0..0..0..2..1
..2..0..0..0..2....1..2..0..0..0....0..0..0..2..1....0..1..2..1..0
..1..0..1..2..1....2..1..0..2..1....0..1..2..0..0....1..2..0..0..0
..0..0..2..0..0....0..0..0..1..2....1..2..1..0..1....2..1..0..2..1

Crossrefs

Sequence in context: A359245 A236055 A236048 * A235947 A237809 A237802

Adjacent sequences: A235951 A235952 A235953 * A235955 A235956 A235957

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 17 2014

Status

approved