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A300084
Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.
1
3, 4, 1, 4, 10, 6, 19, 41, 32, 106, 177, 204, 567, 854, 1301, 3067, 4579, 8193, 16931, 26544, 50620, 96460, 160794, 309917, 567494, 993732, 1895366, 3426279, 6187957, 11638394, 21056192, 38635839, 71892662, 130796451, 241549120, 446677807
OFFSET
1,1
COMMENTS
Column 3 of A300089.
LINKS
FORMULA
Empirical: a(n) = 2*a(n-1) +a(n-2) +2*a(n-3) -10*a(n-4) +2*a(n-5) +2*a(n-6) +2*a(n-7) -3*a(n-8) -3*a(n-9) +12*a(n-10) -4*a(n-11) +17*a(n-12) -3*a(n-13) -5*a(n-14) +a(n-15) -12*a(n-16) -6*a(n-17) -2*a(n-18) -3*a(n-19) -a(n-20) for n>21
EXAMPLE
Some solutions for n=5
..0..0..1. .0..1..1. .0..0..0. .0..1..1. .0..0..0. .0..0..1. .0..1..0
..0..0..1. .0..1..1. .0..0..0. .0..1..1. .0..0..0. .0..0..1. .0..1..0
..0..0..0. .0..0..0. .0..0..0. .1..1..1. .0..0..0. .0..0..0. .0..0..0
..1..1..0. .1..0..0. .0..0..0. .0..1..1. .1..1..1. .0..0..1. .0..1..0
..1..1..0. .1..0..0. .0..0..0. .0..1..1. .1..1..1. .0..0..1. .0..1..0
CROSSREFS
Cf. A300089.
Sequence in context: A091542 A247041 A299446 * A321624 A079529 A361508
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 24 2018
STATUS
approved