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A298181
Number of nX6 0..1 arrays with every element equal to 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero.
1
0, 5, 5, 10, 27, 53, 114, 257, 561, 1286, 2875, 6483, 14836, 33739, 76959, 176116, 402969, 923505, 2117450, 4857133, 11149229, 25598958, 58792507, 135063467, 310331636, 713157987, 1639076783, 3767508164, 8660572913, 19909853545
OFFSET
1,2
COMMENTS
Column 6 of A298183.
LINKS
FORMULA
Empirical: a(n) = 4*a(n-1) -5*a(n-2) +8*a(n-3) -14*a(n-4) +5*a(n-5) -17*a(n-6) +19*a(n-7) +21*a(n-8) -2*a(n-9) +50*a(n-10) -75*a(n-11) +28*a(n-12) -57*a(n-13) +28*a(n-14) -52*a(n-15) +38*a(n-16) -22*a(n-17) -12*a(n-18) +4*a(n-19) +20*a(n-20) +8*a(n-21) -8*a(n-22)
EXAMPLE
Some solutions for n=7
..0..0..0..1..1..1. .0..0..1..1..0..0. .0..0..1..1..1..1. .0..0..0..0..1..1
..0..0..0..1..1..1. .0..0..1..1..0..0. .0..0..1..1..1..1. .0..0..0..0..1..1
..0..0..0..0..0..0. .0..0..1..1..0..0. .0..0..0..0..0..0. .0..0..0..0..1..1
..1..1..0..0..0..0. .0..0..0..0..0..0. .1..1..0..0..0..0. .0..0..0..0..1..1
..1..1..0..0..0..0. .1..1..0..0..1..1. .1..1..0..0..0..0. .1..1..1..0..0..0
..1..1..0..0..0..0. .1..1..0..0..1..1. .1..1..0..0..0..0. .1..1..1..0..0..0
..1..1..0..0..0..0. .1..1..0..0..1..1. .1..1..0..0..0..0. .1..1..1..0..0..0
CROSSREFS
Cf. A298183.
Sequence in context: A082450 A304266 A212344 * A290332 A302842 A087705
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 14 2018
STATUS
approved