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A296969
Number of nX3 0..1 arrays with each 1 adjacent to 2, 4 or 5 king-move neighboring 1s.
1
1, 11, 31, 78, 295, 959, 2958, 9835, 32104, 103383, 337755, 1101269, 3580082, 11672828, 38060520, 124033054, 404479836, 1319253933, 4302723870, 14036075984, 45792455693, 149403264722, 487484967393, 1590699368682, 5190766183630
OFFSET
1,2
COMMENTS
Column 3 of A296974.
LINKS
FORMULA
Empirical: a(n) = 5*a(n-1) -5*a(n-2) +11*a(n-3) -55*a(n-4) +27*a(n-5) -5*a(n-6) +152*a(n-7) +34*a(n-8) -124*a(n-9) -145*a(n-10) -142*a(n-11) +174*a(n-12) +36*a(n-13) -15*a(n-14) +25*a(n-15) +10*a(n-16) -2*a(n-17)
EXAMPLE
Some solutions for n=5
..0..1..1. .0..0..0. .0..1..0. .1..0..0. .0..1..1. .0..1..0. .1..1..0
..0..0..1. .0..1..0. .0..1..1. .1..1..0. .0..0..1. .1..0..1. .1..0..0
..0..1..1. .1..1..0. .0..1..1. .0..0..0. .1..0..0. .1..0..1. .1..1..0
..0..1..1. .1..1..0. .0..1..1. .1..0..0. .1..1..1. .1..0..1. .1..1..0
..0..0..1. .1..0..0. .0..1..0. .1..1..0. .0..0..1. .0..1..0. .0..1..0
CROSSREFS
Cf. A296974.
Sequence in context: A124704 A293659 A089346 * A038773 A054757 A038768
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 22 2017
STATUS
approved