login
A283232
T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than two of its horizontal and vertical neighbors, with the exception of exactly two elements.
7
0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 6, 34, 6, 0, 0, 49, 395, 395, 49, 0, 0, 272, 3996, 8592, 3996, 272, 0, 0, 1376, 37869, 163860, 163860, 37869, 1376, 0, 0, 6620, 338397, 2875836, 5814342, 2875836, 338397, 6620, 0, 0, 30552, 2903399, 47531178, 188295479
OFFSET
1,12
COMMENTS
Table starts
.0.....0........0...........0.............0................0..................0
.0.....0........1...........6............49..............272...............1376
.0.....1.......34.........395..........3996............37869.............338397
.0.....6......395........8592........163860..........2875836...........47531178
.0....49.....3996......163860.......5814342........188295479.........5735340380
.0...272....37869.....2875836.....188295479......11220964804.......628267302565
.0..1376...338397....47531178....5735340380.....628267302565.....64590243667344
.0..6620..2903399...753320466..167289795994...33653819417006...6347644826932771
.0.30552.24188526.11573758019.4724329890393.1744021436949798.603124906010664854
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1)
k=2: [order 15]
k=3: [order 27]
k=4: [order 51]
EXAMPLE
Some solutions for n=4 k=4
..0..0..0..0. .1..1..0..1. .0..0..1..1. .0..0..1..1. .0..1..0..0
..0..1..1..0. .1..0..1..1. .0..1..0..0. .0..1..1..0. .0..0..1..1
..0..1..1..1. .1..1..1..0. .1..1..1..0. .1..1..1..0. .1..0..1..1
..0..1..0..1. .1..1..0..0. .0..1..1..1. .0..1..0..1. .0..0..1..1
CROSSREFS
Sequence in context: A183466 A112289 A354479 * A375569 A190644 A011798
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Mar 03 2017
STATUS
approved