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A259524 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0000 0001 0011 0101 or 1111 9
12, 38, 38, 120, 208, 120, 380, 1122, 1122, 380, 1204, 6100, 10148, 6100, 1204, 3816, 33162, 93028, 93028, 33162, 3816, 12096, 180370, 851604, 1447270, 851604, 180370, 12096, 38344, 981092, 7802386, 22453286, 22453286, 7802386, 981092, 38344 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.....12.......38........120...........380............1204..............3816

.....38......208.......1122..........6100...........33162............180370

....120.....1122......10148.........93028..........851604...........7802386

....380.....6100......93028.......1447270........22453286.........348802846

...1204....33162.....851604......22453286.......589476522.......15503669216

...3816...180370....7802386.....348802846.....15503669216......690701197282

..12096...981092...71482990....5417785744....407656116320....30760063948568

..38344..5336678..654942820...84159480298..10720344908210..1370113260798484

.121552.29029222.6000746068.1307320968014.281914700860322.61026150956984294

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..364

FORMULA

Empirical for column k:

k=1: a(n) = 4*a(n-1) -2*a(n-2) -2*a(n-3)

k=2: a(n) = 7*a(n-1) -7*a(n-2) -10*a(n-3) +10*a(n-4) +2*a(n-5)

k=3: [order 10]

k=4: [order 19]

k=5: [order 36]

k=6: [order 71]

EXAMPLE

Some solutions for n=3 k=4

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

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

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

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

CROSSREFS

Sequence in context: A302884 A057457 A041278 * A043117 A039294 A043897

Adjacent sequences:  A259521 A259522 A259523 * A259525 A259526 A259527

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jun 29 2015

STATUS

approved

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Last modified September 24 19:49 EDT 2022. Contains 356949 sequences. (Running on oeis4.)