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

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

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