A260475 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00010101

34, 49, 49, 103, 92, 103, 205, 213, 213, 205, 414, 471, 658, 471, 414, 840, 1085, 1723, 1723, 1085, 840, 1716, 2562, 4607, 5034, 4607, 2562, 1716, 3477, 5891, 13198, 15502, 15502, 13198, 5891, 3477, 7049, 13530, 36254, 51552, 57524, 51552, 36254, 13530

Offset

1,1

Comments

Table starts

....34....49....103.....205......414.......840.......1716........3477

....49....92....213.....471.....1085......2562.......5891.......13530

...103...213....658....1723.....4607.....13198......36254.......98246

...205...471...1723....5034....15502.....51552.....161176......500384

...414..1085...4607...15502....57524....228287.....839073.....3095233

...840..2562..13198...51552...228287...1095328....4771920....20881559

..1716..5891..36254..161176...839073...4771920...24138984...123310754

..3477.13530..98246..500384..3095233..20881559..123310754...741446708

..7049.31372.272542.1604536.11809031..95279821..662480793..4709379069

.14293.72451.752720.5086798.44303443.425856847.3462881003.28931302958

Links

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

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 19] for n>22

k=4: [order 28] for n>32

k=5: [order 42] for n>47

k=6: [order 50] for n>57

k=7: [order 65] for n>76

Example

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

Crossrefs

Sequence in context: A045256 A302002 A370657 * A107355 A260468 A051991

Adjacent sequences: A260472 A260473 A260474 * A260476 A260477 A260478

Keyword

nonn,tabl

Author

R. H. Hardin, Jul 26 2015

Status

approved