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A299084
Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero.
1
4, 26, 92, 354, 1387, 5470, 21484, 84425, 331838, 1304618, 5128566, 20161270, 79257643, 311578924, 1224880378, 4815257718, 18929769479, 74416841347, 292547978257, 1150066574420, 4521149390460, 17773572810348, 69871588449166
OFFSET
1,1
COMMENTS
Column 3 of A299089.
LINKS
FORMULA
Empirical: a(n) = 5*a(n-1) -4*a(n-2) -2*a(n-3) +9*a(n-4) -23*a(n-5) +30*a(n-6) -23*a(n-7) +24*a(n-8) -64*a(n-9) -12*a(n-10) +66*a(n-11) +38*a(n-12) -37*a(n-13) -44*a(n-14) +4*a(n-15) +22*a(n-16) +8*a(n-17) for n>19
EXAMPLE
Some solutions for n=6
..0..0..1. .0..0..1. .0..1..1. .0..1..1. .0..0..1. .0..1..1. .0..0..1
..1..0..0. .1..1..0. .0..0..0. .0..0..0. .1..1..1. .0..0..0. .1..1..1
..1..1..1. .0..0..0. .1..0..0. .1..0..0. .1..1..0. .1..0..0. .1..1..0
..0..1..1. .0..0..1. .0..0..0. .0..0..0. .1..1..1. .0..0..0. .1..1..1
..1..1..1. .0..0..0. .0..1..1. .0..1..1. .0..0..1. .0..1..1. .0..0..1
..1..0..0. .1..1..0. .0..1..1. .1..0..1. .1..0..0. .1..1..0. .0..1..0
CROSSREFS
Cf. A299089.
Sequence in context: A100207 A172123 A298190 * A245457 A299340 A299847
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 02 2018
STATUS
approved