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A298496
Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4 or 7 king-move adjacent elements, with upper left element zero.
1
3, 3, 1, 4, 5, 6, 20, 35, 70, 174, 365, 789, 1818, 3997, 8829, 19887, 44199, 98280, 219831, 489860, 1091470, 2436279, 5432314, 12111558, 27017683, 60251823, 134360364, 299668975, 668310211, 1490410101, 3323947595, 7412988676
OFFSET
1,1
COMMENTS
Column 3 of A298501.
LINKS
FORMULA
Empirical: a(n) = a(n-1) +2*a(n-2) +6*a(n-3) -4*a(n-4) -10*a(n-5) -11*a(n-6) +5*a(n-7) +12*a(n-8) +6*a(n-9) -5*a(n-10) -a(n-11) +7*a(n-12) +3*a(n-13) -3*a(n-14) -3*a(n-15) for n>16
EXAMPLE
Some solutions for n=8
..0..1..1. .0..1..0. .0..0..1. .0..1..1. .0..1..1. .0..0..1. .0..1..1
..0..1..1. .0..1..0. .0..0..1. .0..1..1. .0..1..1. .0..0..1. .0..1..1
..0..0..1. .0..0..0. .0..1..1. .0..0..1. .0..0..1. .0..1..1. .0..0..0
..0..1..1. .0..0..0. .0..1..1. .0..0..1. .0..1..0. .1..0..1. .0..1..1
..0..1..0. .0..1..0. .0..0..1. .0..1..1. .0..0..0. .0..0..1. .0..1..1
..0..0..1. .1..0..0. .0..1..1. .0..1..1. .0..0..0. .0..1..1. .0..0..0
..0..1..1. .1..1..0. .0..0..1. .0..0..1. .0..1..0. .0..0..1. .0..1..1
..0..1..1. .1..1..0. .0..0..1. .0..0..1. .0..1..0. .0..0..1. .0..1..1
CROSSREFS
Cf. A298501.
Sequence in context: A164731 A226576 A297902 * A137919 A079081 A199775
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 20 2018
STATUS
approved