A261265 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 00100101 or 01010101.

36, 41, 41, 91, 52, 91, 166, 110, 110, 166, 321, 232, 288, 232, 321, 586, 418, 690, 690, 418, 586, 1123, 758, 1483, 1918, 1483, 758, 1123, 2082, 1436, 2948, 4350, 4350, 2948, 1436, 2082, 3938, 2724, 6795, 10382, 11733, 10382, 6795, 2724, 3938, 7358, 5122

Offset

1,1

Comments

Table starts

...36...41....91....166.....321.....586.....1123......2082.......3938

...41...52...110....232.....418.....758.....1436......2724.......5122

...91..110...288....690....1483....2948.....6795.....14292......32297

..166..232...690...1918....4350...10382....26072.....63964.....155288

..321..418..1483...4350...11733...28540....85617....217484.....628033

..586..758..2948..10382...28540...85506...274100....842884....2548286

.1123.1436..6795..26072...85617..274100..1062118...3488342...12721239

.2082.2724.14292..63964..217484..842884..3488342..13599460...52483912

.3938.5122.32297.155288..628033.2548286.12721239..52483912..242945986

.7358.9588.66828.379950.1580858.7832046.41920830.207199986.1013896912

Links

R. H. Hardin, Table of n, a(n) for n = 1..1010

Formula

Empirical for column k:

k=1: a(n) = a(n-1) +a(n-2) +2*a(n-4) +a(n-6) for n>7

k=2: a(n) = a(n-1) +2*a(n-3) +a(n-4) +2*a(n-5) for n>6

k=3: [order 12] for n>13

k=4: [order 16] for n>17

k=5: [order 25] for n>28

k=6: [order 31] for n>36

k=7: [order 55] for n>62

Example

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

Crossrefs

Sequence in context: A060292 A334911 A305942 * A344808 A295694 A295492

Adjacent sequences: A261262 A261263 A261264 * A261266 A261267 A261268

Keyword

nonn,tabl

Author

R. H. Hardin, Aug 13 2015

Status

approved