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URL: https://oeis.org/A317233

⇱ A317233 - OEIS


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A317233
Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 4, 6, 7 or 8 king-move adjacent elements, with upper left element zero.
1
4, 12, 28, 60, 211, 597, 1619, 4792, 13802, 39400, 113525, 326899, 940153, 2704316, 7781698, 22393110, 64428105, 185379093, 533427975, 1534875554, 4416403250, 12707841186, 36565665643, 105214062105, 302743695225, 871117391912
OFFSET
1,1
COMMENTS
Column 3 of A317238.
LINKS
FORMULA
Empirical: a(n) = a(n-1) +3*a(n-2) +11*a(n-3) +a(n-4) -18*a(n-5) -48*a(n-6) -31*a(n-7) +19*a(n-8) +50*a(n-9) +34*a(n-10) +2*a(n-11) -4*a(n-12) -3*a(n-13) for n>14
EXAMPLE
Some solutions for n=5
..0..1..1. .0..0..1. .0..0..1. .0..1..0. .0..1..0. .0..1..0. .0..0..0
..1..0..1. .0..1..0. .0..0..1. .0..1..0. .0..1..0. .0..0..1. .0..0..0
..1..1..1. .0..0..0. .0..1..1. .1..1..1. .0..0..0. .0..0..0. .1..1..0
..1..0..1. .1..0..0. .0..1..1. .1..1..1. .0..0..1. .0..1..0. .0..0..0
..1..1..1. .0..1..0. .1..1..1. .1..1..1. .0..1..0. .1..0..0. .0..0..0
CROSSREFS
Cf. A317238.
Sequence in context: A028399 A173033 A339124 * A309917 A377322 A034508
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jul 24 2018
STATUS
approved