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A304954
Number of nX3 0..1 arrays with every element unequal to 1, 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero.
1
1, 16, 42, 118, 371, 1203, 3917, 12919, 42060, 137964, 453179, 1485554, 4873627, 15999482, 52491249, 172244821, 565295892, 1855010713, 6087300807, 19976720519, 65555588200, 215127264249, 705970664448, 2316727402348, 7602611158078
OFFSET
1,2
COMMENTS
Column 3 of A304959.
LINKS
FORMULA
Empirical: a(n) = 2*a(n-1) +4*a(n-2) +8*a(n-3) -12*a(n-4) -42*a(n-5) +3*a(n-6) +a(n-7) +30*a(n-8) +58*a(n-9) +60*a(n-10) +18*a(n-11) -90*a(n-12) -70*a(n-13) -48*a(n-14) +30*a(n-15) +39*a(n-16) +2*a(n-17) +4*a(n-18) -4*a(n-19) -4*a(n-20) for n>21
EXAMPLE
Some solutions for n=5
..0..0..0. .0..1..1. .0..1..0. .0..0..0. .0..0..1. .0..1..0. .0..1..1
..0..1..0. .1..0..0. .1..1..1. .1..0..1. .1..0..0. .0..1..1. .1..0..1
..1..1..1. .1..1..0. .1..1..0. .0..0..0. .1..1..1. .0..0..1. .1..1..1
..1..1..1. .1..0..0. .0..1..1. .0..1..0. .1..0..1. .1..0..1. .0..1..0
..0..0..0. .0..1..1. .1..1..0. .1..0..0. .1..1..0. .1..1..0. .0..0..0
CROSSREFS
Cf. A304959.
Sequence in context: A317761 A318340 A318072 * A218067 A187729 A088800
KEYWORD
nonn
AUTHOR
R. H. Hardin, May 22 2018
STATUS
approved