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A281649
Number of nX3 0..2 arrays with no element equal to more than one of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.
1
1, 70, 985, 10572, 104815, 982206, 8921869, 79152992, 690169163, 5936924514, 50519131945, 426076889988, 3566942546599, 29673740170566, 245529558834373, 2022092139217448, 16585031242812675, 135537068349013930
OFFSET
1,2
COMMENTS
Column 3 of A281653.
LINKS
FORMULA
Empirical: a(n) = 14*a(n-1) -29*a(n-2) -192*a(n-3) +136*a(n-4) +1336*a(n-5) +1164*a(n-6) -2528*a(n-7) -6176*a(n-8) -5120*a(n-9) -1600*a(n-10) for n>13
EXAMPLE
Some solutions for n=4
..0..1..2. .0..1..0. .0..0..1. .0..0..1. .0..1..1. .0..1..0. .0..1..2
..2..0..1. .0..0..0. .1..0..1. .0..1..0. .2..0..2. .2..2..0. .0..1..1
..2..2..2. .2..1..0. .1..2..1. .2..1..0. .2..0..1. .2..1..0. .0..1..2
..0..1..0. .0..2..1. .1..0..0. .0..2..0. .1..1..2. .0..1..2. .2..0..2
CROSSREFS
Cf. A281653.
Sequence in context: A251933 A061170 A125114 * A189413 A362054 A229735
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 26 2017
STATUS
approved