VOOZH about

URL: https://oeis.org/A260015

⇱ A260015 - OEIS

login
A260015
T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000101 00010101 or 01010101.
9
36, 49, 49, 109, 98, 109, 209, 252, 252, 209, 436, 578, 889, 578, 436, 828, 1232, 2492, 2492, 1232, 828, 1744, 2738, 6944, 8450, 6944, 2738, 1744, 3344, 6262, 18356, 25600, 25600, 18356, 6262, 3344, 7005, 14112, 56137, 84050, 87024, 84050, 56137, 14112
OFFSET
1,1
COMMENTS
Table starts
....36....49.....109......209......436.......828.......1744........3344
....49....98.....252......578.....1232......2738.......6262.......14112
...109...252.....889.....2492.....6944.....18356......56137......155304
...209...578....2492.....8450....25600.....84050.....292422......985608
...436..1232....6944....25600....87024....294336....1231648.....4380288
...828..2738...18356....84050...294336...1210568....5674360....24724512
..1744..6262...56137...292422..1231648...5674360...33390411...166527544
..3344.14112..155304...985608..4380288..24724512..166527544..1002982472
..7005.31500..457083..3251280.16773440.101249348..840032861..5561958496
.13424.70688.1237656.10857800.58243968.428893472.4030790792.32495162312
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 2*a(n-2) +7*a(n-4) +a(n-5) +2*a(n-6) +a(n-7) -a(n-8) +a(n-9) for n>10
k=2: a(n) = 2*a(n-1) +a(n-3) +3*a(n-4) -5*a(n-5) -a(n-6) -a(n-8) +a(n-9) for n>10
k=3: a(n) = 4*a(n-2) +37*a(n-4) -13*a(n-6) -124*a(n-8) +12*a(n-10) +72*a(n-12) for n>13
k=4: [order 16] for n>17
k=5: [order 18] for n>21
k=6: [order 36] for n>37
k=7: [order 56] for n>57
EXAMPLE
Some solutions for n=4 k=4
..0..1..0..1..0..0....0..1..0..1..0..0....0..0..1..0..1..0....0..0..0..1..0..0
..1..0..1..0..0..0....1..0..1..0..0..0....0..0..0..1..0..0....1..0..1..0..0..0
..0..0..0..1..0..1....0..0..0..1..0..1....0..0..1..0..0..0....0..1..0..1..0..1
..1..0..1..0..1..0....0..0..1..0..1..0....0..1..0..1..0..1....0..0..1..0..1..0
..0..1..0..1..0..0....0..1..0..1..0..1....1..0..1..0..1..0....0..0..0..1..0..1
..0..0..1..0..0..0....1..0..1..0..1..0....0..0..0..1..0..1....0..0..1..0..0..0
CROSSREFS
Sequence in context: A349869 A260920 A132956 * A374936 A163244 A260008
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jul 13 2015
STATUS
approved