A261380 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00001011 00010101 or 01010101.

36, 39, 39, 60, 41, 60, 97, 82, 82, 97, 154, 157, 202, 157, 154, 247, 266, 424, 424, 266, 247, 392, 470, 869, 1040, 869, 470, 392, 618, 864, 1714, 2282, 2282, 1714, 864, 618, 977, 1553, 3778, 5254, 5633, 5254, 3778, 1553, 977, 1548, 2758, 7462, 12500, 14312

Offset: 1

Author

R. H. Hardin, Aug 17 2015

Keywords

• nonn
• tabl

Comments

Table starts

...36...39....60.....97....154.....247......392......618.......977.......1548

...39...41....82....157....266.....470......864.....1553......2758.......4960

...60...82...202....424....869....1714.....3778.....7462.....15888......31618

...97..157...424...1040...2282....5254....12500....28885.....66332.....154413

..154..266...869...2282...5633...14312....39494....99168....261501.....666722

..247..470..1714...5254..14312...42302...128998...377183...1099308....3261560

..392..864..3778..12500..39494..128998...461576..1468008...5004588...16267396

..618.1553..7462..28885..99168..377183..1468008..5441268..20216794...76589561

..977.2758.15888..66332.261501.1099308..5004588.20216794..87288274..362866846

.1548.4960.31618.154413.666722.3261560.16267396.76589561.362866846.1757770516

Examples

			Some solutions for n=4 k=4
..0..1..0..1..0..0....0..1..0..1..0..1....0..0..0..1..0..0....0..0..0..1..0..1
..1..0..0..0..1..0....1..0..1..0..1..0....1..0..1..0..1..0....1..0..1..0..1..0
..0..1..0..1..0..1....0..1..0..1..0..1....0..1..0..1..0..1....0..1..0..1..0..0
..1..0..1..0..1..0....1..0..1..0..1..0....1..0..1..0..1..0....0..0..1..0..1..0
..0..1..0..1..0..0....0..1..0..1..0..1....0..0..0..1..0..0....0..1..0..1..0..1
..1..0..0..0..1..0....1..0..1..0..0..0....0..0..1..0..1..0....1..0..1..0..0..0
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..1104

Formula

Empirical for column k:

k=1: a(n) = a(n-2) +3*a(n-4) +2*a(n-6) for n>12

k=2: a(n) = a(n-2) +6*a(n-4) +4*a(n-6) -a(n-8) for n>9

k=3: a(n) = a(n-2) +11*a(n-4) +13*a(n-6) -2*a(n-8) -2*a(n-10) +4*a(n-12) for n>17

k=4: [order 20] for n>22

k=5: [order 26] for n>29

k=6: [order 40] for n>44

k=7: [order 54] for n>59