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A235954 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the upper median value of each 2X2 subblock 9
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 (list; table; graph; refs; listen; history; text; internal format)
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: A017078 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

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Last modified December 4 08:16 EST 2021. Contains 349479 sequences. (Running on oeis4.)