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A298082
Number of nX3 0..1 arrays with every element equal to 2, 3, 5 or 6 king-move adjacent elements, with upper left element zero.
1
0, 3, 0, 3, 1, 7, 18, 52, 144, 405, 1124, 3113, 8688, 24346, 68385, 192524, 542537, 1529960, 4316175, 12178973, 34370746, 97008377, 273813995, 772895361, 2181712563, 6158599574, 17384869895, 49075425772, 138534755824, 391070202040
OFFSET
1,2
COMMENTS
Column 3 of A298087.
LINKS
FORMULA
Empirical: a(n) = 3*a(n-1) +2*a(n-2) -4*a(n-3) -11*a(n-4) +a(n-5) +15*a(n-6) +7*a(n-7) +a(n-8) -24*a(n-9) -39*a(n-10) +13*a(n-11) +32*a(n-12) +8*a(n-13) +5*a(n-14) -2*a(n-15) -2*a(n-16) for n>17
EXAMPLE
Some solutions for n=7
..0..0..1. .0..0..1. .0..1..1. .0..0..0. .0..0..1. .0..1..1. .0..0..0
..0..1..1. .0..1..1. .0..0..1. .1..0..1. .0..1..1. .0..0..1. .1..0..1
..0..1..0. .0..1..0. .1..0..1. .1..1..1. .0..1..0. .1..0..1. .1..1..1
..0..0..0. .1..0..0. .1..1..1. .1..0..1. .0..0..0. .1..1..0. .1..0..1
..0..1..0. .1..1..1. .1..0..1. .0..0..0. .0..1..0. .0..0..0. .0..0..0
..0..1..1. .1..0..1. .0..0..1. .1..1..1. .1..1..0. .0..1..0. .0..1..0
..0..0..1. .0..0..0. .0..1..1. .1..1..1. .1..0..0. .1..1..1. .1..1..1
CROSSREFS
Cf. A298087.
Sequence in context: A322575 A166445 A374139 * A085919 A352613 A105824
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 12 2018
STATUS
approved