A260609 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000101 00010001 or 00010101

40, 58, 58, 125, 118, 125, 241, 250, 250, 241, 525, 532, 610, 532, 525, 1029, 1136, 1334, 1334, 1136, 1029, 2246, 2480, 3343, 3388, 3343, 2480, 2246, 4407, 5418, 7516, 8736, 8736, 7516, 5418, 4407, 9592, 11776, 19069, 22944, 26148, 22944, 19069, 11776, 9592

Offset

1,1

Comments

Table starts

....40....58....125.....241.....525.....1029......2246......4407.......9592

....58...118....250.....532....1136.....2480......5418.....11776......25694

...125...250....610....1334....3343.....7516.....19069.....42696.....108592

...241...532...1334....3388....8736....22944.....59758....156228.....410004

...525..1136...3343....8736...26148....70906....217376....587980....1803868

..1029..2480...7516...22944...70906...228678....727342...2311370....7375562

..2246..5418..19069...59758..217376...727342...2707758...8855024...33286034

..4407.11776..42696..156228..587980..2311370...8855024..34290074..133565560

..9592.25694.108592..410004.1803868..7375562..33286034.133565560..611554908

.18930.56138.244492.1074706.4887108.23635422.110210856.519018772.2461954176

Links

R. H. Hardin, Table of n, a(n) for n = 1..511

Formula

Empirical for column k:

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

k=2: [order 13] for n>14

k=3: [order 24] for n>29

k=4: [order 37] for n>40

k=5: [order 72] for n>75

Example

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

Crossrefs

Sequence in context: A372298 A349242 A369150 * A260602 A116309 A126816

Adjacent sequences: A260606 A260607 A260608 * A260610 A260611 A260612

Keyword

nonn,tabl

Author

R. H. Hardin, Jul 29 2015

Status

approved