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A298662
Number of nX3 0..1 arrays with every element equal to 0, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero.
1
1, 0, 3, 1, 5, 8, 7, 25, 25, 58, 95, 155, 299, 494, 905, 1623, 2867, 5260, 9421, 17149, 31225, 56740, 103795, 189417, 346621, 634790, 1162643, 2132211, 3910471, 7175862, 13172677, 24185043, 44417767, 81586900, 149883961, 275388205, 506024365
OFFSET
1,3
COMMENTS
Column 3 of A298667.
LINKS
FORMULA
Empirical: a(n) = a(n-1) +3*a(n-2) +a(n-3) -4*a(n-4) -6*a(n-5) -3*a(n-6) +5*a(n-7) +7*a(n-8) -a(n-9) +2*a(n-11) -2*a(n-12)
EXAMPLE
Some solutions for n=8
..0..1..0. .0..1..1. .0..1..0. .0..1..0. .0..1..1. .0..0..1. .0..1..0
..1..1..1. .1..1..1. .1..1..1. .1..1..1. .1..1..1. .0..0..0. .1..1..1
..1..1..1. .1..0..1. .0..1..0. .0..1..0. .1..0..1. .0..1..0. .1..1..1
..1..0..0. .1..1..1. .1..1..1. .1..1..1. .1..1..1. .0..0..0. .0..0..1
..1..0..0. .0..1..1. .0..1..0. .1..1..1. .1..1..0. .0..0..0. .0..0..1
..1..1..1. .1..1..0. .1..1..1. .1..0..1. .0..1..1. .0..1..0. .1..1..1
..1..1..1. .1..1..1. .1..1..1. .1..1..1. .1..1..1. .0..0..0. .1..1..1
..0..1..0. .0..1..1. .0..1..0. .1..1..0. .1..1..0. .1..0..0. .0..1..0
CROSSREFS
Cf. A298667.
Sequence in context: A124420 A176105 A094353 * A306780 A209996 A340804
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 24 2018
STATUS
approved