A261292 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00010101 or 01010101.

36, 50, 50, 96, 77, 96, 166, 133, 133, 166, 307, 233, 271, 233, 307, 540, 409, 504, 504, 409, 540, 1015, 743, 1086, 1147, 1086, 743, 1015, 1786, 1361, 2104, 2586, 2586, 2104, 1361, 1786, 3304, 2469, 4715, 6034, 6996, 6034, 4715, 2469, 3304, 5862, 4485, 9080

Offset

1,1

Comments

Table starts

...36...50....96....166....307.....540.....1015.....1786......3304.......5862

...50...77...133....233....409.....743.....1361.....2469......4485.......8183

...96..133...271....504...1086....2104.....4715.....9080.....20093......38864

..166..233...504...1147...2586....6034....14106....32496.....75202.....175008

..307..409..1086...2586...6996...17094....48435...115722....323733.....784568

..540..743..2104...6034..17094...51268...153144...446786...1313726....3893926

.1015.1361..4715..14106..48435..153144...561724..1703644...6132232...19020918

.1786.2469..9080..32496.115722..446786..1703644..6295926..23598948...89318272

.3304.4485.20093..75202.323733.1313726..6132232.23598948.107865659..426936240

.5862.8183.38864.175008.784568.3893926.19020918.89318272.426936240.2065840014

Links

R. H. Hardin, Table of n, a(n) for n = 1..1011

Formula

Empirical for column k:

k=1: [linear recurrence of order 12] for n>13

k=2: [order 16] for n>17

k=3: [order 22] for n>26

k=4: [order 24] for n>28

k=5: [order 36] for n>41

k=6: [order 41] for n>48

k=7: [order 58] for n>69

Example

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

Crossrefs

Sequence in context: A260015 A163244 A260008 * A335249 A332287 A050691

Adjacent sequences: A261289 A261290 A261291 * A261293 A261294 A261295

Keyword

nonn,tabl

Author

R. H. Hardin, Aug 14 2015

Status

approved