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A259723
T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 or 00000011
9
32, 54, 54, 140, 95, 140, 242, 228, 228, 242, 312, 392, 568, 392, 312, 722, 556, 1064, 1064, 556, 722, 1388, 1219, 1244, 2059, 1244, 1219, 1388, 1974, 2330, 2858, 2218, 2218, 2858, 2330, 1974, 3824, 3544, 6092, 5458, 3120, 5458, 6092, 3544, 3824, 7718
OFFSET
1,1
COMMENTS
Table starts
...32....54...140...242...312....722...1388...1974....3824....7718...12060
...54....95...228...392...556...1219...2330...3544....6772...13549...22196
..140...228...568..1064..1244...2858...6092...8638...15640...34858...57256
..242...392..1064..2059..2218...5458..12198..16269...30246...71722..114938
..312...556..1244..2218..3120...7076..13920..21398...42208...89194..149000
..722..1219..2858..5458..7076..16294..33846..51254...99106..219106..370024
.1388..2330..6092.12198.13920..33846..75200.109360..207144..488034..830840
.1974..3544..8638.16269.21398..51254.109360.165976..330522..758812.1302892
.3824..6772.15640.30246.42208..99106.207144.330522..671824.1508650.2625348
.7718.13549.34858.71722.89194.219106.488034.758812.1508650.3555562.6283494
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 4*a(n-3) +3*a(n-4)
k=2: [order 10]
k=3: [order 16]
k=4: [order 22]
k=5: [order 52]
k=6: [order 84] for n>85
EXAMPLE
Some solutions for n=4 k=4
..1..0..0..0..0..0....1..1..0..0..1..1....0..0..0..0..1..0....0..0..0..0..0..1
..0..1..0..0..1..1....0..1..0..0..1..0....1..1..0..0..1..0....1..1..0..0..1..1
..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
..0..1..0..0..1..0....1..1..0..0..1..0....1..1..0..0..1..0....0..1..0..0..1..1
..0..1..0..0..1..0....0..0..0..0..1..1....0..0..0..0..0..1....1..1..0..0..0..0
CROSSREFS
Sequence in context: A077534 A164998 A165000 * A118617 A259716 A033907
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jul 03 2015
STATUS
approved