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A188100
Number of (n+3) X 7 binary arrays with every 4 X 4 subblock commuting with each horizontal and vertical neighbor 4 X 4 subblock.
1
3594, 643, 1421, 3341, 5037, 5661, 5953, 6253, 6581, 7077, 8093, 10545, 15169, 21210, 28063, 36652, 47741, 60743, 75573, 94591, 120733, 154829, 197606, 253160, 326927, 421650, 539884, 689913, 884297, 1133733, 1449457, 1852530, 2373725, 3044695
OFFSET
1,1
COMMENTS
Column 4 of A188105.
LINKS
FORMULA
Empirical: a(n)=2*a(n-1)-a(n-2)+a(n-4)-2*a(n-5)+a(n-6)+a(n-8)-a(n-9) for n>14.
Empirical g.f.: x*(3594 - 6545*x + 3729*x^2 + 1142*x^3 - 3818*x^4 + 5473*x^5 - 4061*x^6 - 1134*x^7 - 3342*x^8 + 4191*x^9 + 74*x^10 - 492*x^11 + 448*x^12 + 625*x^13) / ((1 - x)*(1 - x - x^4 + x^5 - x^8)). - Colin Barker, Feb 07 2018
EXAMPLE
Some solutions for 5 X 7:
..0..0..0..0..1..0..0....0..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..1..0
..0..0..0..0..0..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..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..0..0..0..0..0..0
CROSSREFS
Sequence in context: A251087 A187422 A186214 * A230023 A157857 A141781
KEYWORD
nonn
AUTHOR
R. H. Hardin, Mar 20 2011
STATUS
approved