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A237637 T(n,k) = Number of (n+1) X (k+1) 0..2 arrays with the upper median of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one. 9
81, 260, 260, 702, 636, 702, 1786, 1220, 1220, 1786, 4621, 2356, 1310, 2356, 4621, 11936, 4500, 1488, 1488, 4500, 11936, 30656, 8594, 2086, 2012, 2086, 8594, 30656, 77576, 16448, 2900, 2816, 2816, 2900, 16448, 77576, 200452, 31672, 4132, 4440, 4622 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts:

.....81....260...702..1786..4621.11936.30656.77576.200452.515424.1325424

....260....636..1220..2356..4500..8594.16448.31672..60362.116180..223768

....702...1220..1310..1488..2086..2900..4132..5720...8248..11504...16546

...1786...2356..1488..2012..2816..4440..5976.10104..14168..22294...29908

...4621...4500..2086..2816..4622..5656..7756.11312..17626..22624...30496

..11936...8594..2900..4440..5656..9368.11984.20756..28336..47134...59920

..30656..16448..4132..5976..7756.11984.18344.23968..35732..47936...71426

..77576..31672..5720.10104.11312.20756.23968.44292..56672..98684..119840

.200452..60362..8248.14168.17626.28336.35732.56672.102536.113344..166116

.515424.116180.11504.22294.22624.47134.47936.98684.113344.211268..239680

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..2664

FORMULA

Empirical for column k:

k=1: a(n) = 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.

diagonal: a(n) = 4*a(n-2) +25*a(n-4) -100*a(n-6) for n>11.

EXAMPLE

Some solutions for n=5, k=4:

..1..1..0..1..2....0..0..0..1..2....2..1..0..2..1....2..1..0..1..2

..0..0..0..2..1....2..1..0..1..2....0..2..0..0..0....0..0..0..2..1

..0..1..2..1..0....1..2..0..0..0....0..1..2..1..0....0..1..2..1..0

..1..2..0..0..0....0..0..2..1..0....0..0..0..2..1....0..2..0..0..0

..2..1..0..1..2....1..0..1..2..0....1..2..0..1..2....2..1..0..1..2

..1..0..0..2..1....1..0..0..1..2....2..1..0..0..1....1..0..0..2..0

CROSSREFS

Sequence in context: A236791 A237060 A340697 * A237630 A236746 A236739

Adjacent sequences:  A237634 A237635 A237636 * A237638 A237639 A237640

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 10 2014

STATUS

approved

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Last modified January 22 05:19 EST 2022. Contains 350481 sequences. (Running on oeis4.)