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

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

R. H. Hardin, Table of n, a(n) for n = 1..612

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

Adjacent sequences: A259720 A259721 A259722 * A259724 A259725 A259726

Keyword

nonn,tabl

Author

R. H. Hardin, Jul 03 2015

Status

approved