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A228658
Number of n X 6 binary arrays with top left value 1 and no two ones adjacent horizontally, diagonally or antidiagonally.
1
8, 80, 968, 11148, 128740, 1482892, 17074988, 196565912, 2262692928, 26045341080, 299798763232, 3450863834052, 39721453897148, 457216814726132, 5262827734777604, 60578160174884624, 697289282211813816
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 14*a(n-1) - 17*a(n-2) - 142*a(n-3) + 59*a(n-4) + 352*a(n-5) + 103*a(n-6) - 48*a(n-7).
Empirical g.f.: 4*x*(2 - 8*x - 4*x^2 + 23*x^3 + 3*x^4 - 8*x^5) / (1 - 14*x + 17*x^2 + 142*x^3 - 59*x^4 - 352*x^5 - 103*x^6 + 48*x^7). - Colin Barker, Sep 12 2018
EXAMPLE
Some solutions for n=4:
..1..0..1..0..0..1....1..0..1..0..1..0....1..0..1..0..0..1....1..0..0..0..0..1
..1..0..0..0..0..1....0..0..0..0..1..0....0..0..1..0..0..0....0..0..0..1..0..0
..1..0..0..1..0..1....0..0..1..0..0..0....1..0..1..0..0..0....0..0..0..0..0..1
..1..0..0..0..0..1....1..0..1..0..1..0....0..0..1..0..1..0....0..0..0..1..0..1
CROSSREFS
Column 6 of A228660.
Sequence in context: A328128 A053175 A051580 * A234596 A060375 A097815
KEYWORD
nonn
AUTHOR
R. H. Hardin, Aug 29 2013
STATUS
approved