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A300170
Number of nX3 0..1 arrays with every element equal to 2, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.
1
0, 3, 9, 37, 192, 932, 4712, 23795, 120610, 612315, 3110338, 15805917, 80334285, 408339140, 2075677553, 10551347780, 53636527966, 272656370832, 1386027291338, 7045770251219, 35816690408937, 182071750375772, 925549713377018
OFFSET
1,2
COMMENTS
Column 3 of A300175.
LINKS
FORMULA
Empirical: a(n) = 5*a(n-1) +6*a(n-2) -22*a(n-3) -38*a(n-4) +20*a(n-5) +46*a(n-6) +3*a(n-7) +5*a(n-8) +13*a(n-9) -11*a(n-10) -4*a(n-11) for n>13
EXAMPLE
Some solutions for n=5
..0..1..1. .0..1..1. .0..0..0. .0..1..1. .0..0..0. .0..0..0. .0..1..1
..0..0..1. .0..0..1. .1..0..1. .0..0..1. .0..0..0. .1..0..0. .0..0..1
..0..1..0. .0..1..1. .1..1..1. .0..1..1. .1..1..1. .1..1..1. .1..1..0
..1..0..0. .0..0..0. .1..1..1. .1..0..0. .1..1..1. .0..1..1. .1..0..0
..1..1..0. .0..0..0. .1..1..1. .1..1..0. .1..1..1. .0..0..1. .0..0..0
CROSSREFS
Cf. A300175.
Sequence in context: A030856 A030943 A030803 * A155159 A222518 A107886
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 27 2018
STATUS
approved