A260177 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00010001

40, 74, 74, 183, 167, 183, 409, 419, 419, 409, 950, 1001, 1054, 1001, 950, 2221, 2500, 2598, 2598, 2500, 2221, 5235, 6344, 6813, 6973, 6813, 6344, 5235, 12063, 15847, 17889, 19701, 19701, 17889, 15847, 12063, 28230, 39584, 46263, 55849, 61216, 55849

Offset

1,1

Comments

Table starts

....40.....74....183.....409......950.....2221......5235......12063......28230

....74....167....419....1001.....2500.....6344.....15847......39584......99741

...183....419...1054....2598.....6813....17889.....46263.....119681.....316052

...409...1001...2598....6973....19701....55849....153286.....432380....1232980

...950...2500...6813...19701....61216...189092....572908....1765974....5534722

..2221...6344..17889...55849...189092...651914...2136068....7213362...24711312

..5235..15847..46263..153286...572908..2136068...7542684...27290652..103230076

.12063..39584.119681..432380..1765974..7213362..27290652..110062152..455099790

.28230..99741.316052.1232980..5534722.24711312.103230076..455099790.2074273964

.65845.250297.821743.3453740.16874335.83529368.376084390.1815630894.9017934212

Links

R. H. Hardin, Table of n, a(n) for n = 1..364

Formula

Empirical for column k:

k=1: [linear recurrence of order 10] for n>11

k=2: [order 15] for n>16

k=3: [order 30] for n>31

k=4: [order 54] for n>57

Example

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

Crossrefs

Sequence in context: A251123 A064635 A098517 * A260170 A260544 A260537

Adjacent sequences: A260174 A260175 A260176 * A260178 A260179 A260180

Keyword

nonn,tabl

Author

R. H. Hardin, Jul 17 2015

Status

approved