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A259427 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0000 0001 0011 or 0111 8
13, 43, 43, 142, 243, 142, 469, 1366, 1366, 469, 1549, 7695, 12953, 7695, 1549, 5116, 43347, 123306, 123306, 43347, 5116, 16897, 244228, 1172659, 1990133, 1172659, 244228, 16897, 55807, 1376077, 11155819, 32060569, 32060569, 11155819, 1376077 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.....13.......43........142...........469............1549...............5116

.....43......243.......1366..........7695...........43347.............244228

....142.....1366......12953........123306.........1172659...........11155819

....469.....7695.....123306.......1990133........32060569..........516880938

...1549....43347....1172659......32060569.......873754597........23840819225

...5116...244228...11155819.....516880938.....23840819225......1101527291223

..16897..1376077..106118138....8331704179....650266054724.....50866278137234

..55807..7753553.1009466878..134312969201..17738788220867...2349427850331898

.184318.43687910.9602626846.2165188798924.483879193637566.108508759637883502

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..391

FORMULA

Empirical for column k:

k=1: a(n) = 3*a(n-1) +a(n-2)

k=2: a(n) = 6*a(n-1) +2*a(n-2) -22*a(n-3) -6*a(n-4) +6*a(n-5) +a(n-6)

k=3: [order 8]

k=4: [order 20]

k=5: [order 32]

k=6: [order 62]

EXAMPLE

Some solutions for n=3 k=4

..0..0..1..1..0....0..0..0..1..0....1..0..0..1..1....1..1..0..1..1

..0..0..1..0..0....0..1..0..0..0....0..0..1..1..0....0..0..0..0..0

..0..0..0..0..1....0..1..1..0..1....0..0..0..0..0....0..0..0..0..1

..1..0..0..0..0....1..1..0..0..0....1..1..0..0..0....0..1..0..1..1

CROSSREFS

Column 1 is A003688(n+2)

Sequence in context: A232448 A157835 A071632 * A118857 A118529 A129811

Adjacent sequences:  A259424 A259425 A259426 * A259428 A259429 A259430

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jun 26 2015

STATUS

approved

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Last modified December 12 14:43 EST 2018. Contains 318076 sequences. (Running on oeis4.)