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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. 9
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

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

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

EXAMPLE

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

CROSSREFS

Sequence in context: A031317 A257441 A181457 * A337861 A261373 A248372

Adjacent sequences:  A261377 A261378 A261379 * A261381 A261382 A261383

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Aug 17 2015

STATUS

approved

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Last modified May 11 18:21 EDT 2021. Contains 343808 sequences. (Running on oeis4.)