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.

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

Offset: 1

Author

R. H. Hardin, Jun 26 2015

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 1 is A003688(n+2)

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]