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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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: A260277 A045256 A302002 * A107355 A260468 A051991

Adjacent sequences:  A260472 A260473 A260474 * A260476 A260477 A260478

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jul 26 2015

STATUS

approved

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Last modified January 26 23:05 EST 2020. Contains 331289 sequences. (Running on oeis4.)