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A299809
Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.
1
3, 4, 12, 43, 91, 519, 1721, 5886, 24858, 89458, 331545, 1293081, 4800200, 18085436, 68906303, 258751342, 977403762, 3699805618, 13947688934, 52692144086, 199113543247, 751576314916, 2838921851835, 10723095436605, 40491350276075
OFFSET
1,1
COMMENTS
Column 3 of A299814.
LINKS
FORMULA
Empirical: a(n) = 3*a(n-1) +3*a(n-2) +17*a(n-3) -59*a(n-4) -28*a(n-5) -32*a(n-6) +159*a(n-7) +115*a(n-8) +5*a(n-9) -25*a(n-10) -90*a(n-11) -105*a(n-12) -175*a(n-13) +66*a(n-14) +5*a(n-15) +8*a(n-16) +6*a(n-17) for n>18
EXAMPLE
Some solutions for n=5
..0..0..0. .0..0..0. .0..0..0. .0..0..1. .0..1..0. .0..1..0. .0..0..0
..0..0..0. .0..0..0. .0..0..0. .0..0..1. .1..1..1. .1..1..1. .0..0..0
..1..1..1. .0..0..0. .0..0..0. .1..1..1. .1..1..1. .1..1..1. .0..0..0
..1..1..1. .1..1..1. .1..0..1. .1..1..1. .1..1..1. .1..1..1. .0..0..0
..1..1..1. .1..1..1. .1..0..1. .1..1..1. .1..1..1. .0..1..0. .1..0..1
CROSSREFS
Cf. A299814.
Sequence in context: A101716 A360992 A217477 * A109771 A052626 A336687
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 19 2018
STATUS
approved