login
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
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
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 A340480
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jun 26 2015
STATUS
approved