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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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: A108607 A109730 A100333 * A260602 A116309 A126816

Adjacent sequences:  A260606 A260607 A260608 * A260610 A260611 A260612

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jul 29 2015

STATUS

approved

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Last modified August 1 03:05 EDT 2021. Contains 346379 sequences. (Running on oeis4.)