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A299932
Number of nX3 0..1 arrays with every element equal to 1, 2, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.
1
1, 18, 130, 902, 6243, 43375, 300901, 2088188, 14490885, 100561673, 697859666, 4842887731, 33607835172, 233225868721, 1618500688831, 11231792221332, 77944456338104, 540905507962400, 3753682843565441, 26049161421235915
OFFSET
1,2
COMMENTS
Column 3 of A299937.
LINKS
FORMULA
Empirical: a(n) = 7*a(n-1) +2*a(n-2) -19*a(n-3) +15*a(n-4) +3*a(n-5) -3*a(n-6) -2*a(n-7) -10*a(n-8) -3*a(n-9) +2*a(n-10) for n>11
EXAMPLE
Some solutions for n=5
..0..1..1. .0..0..1. .0..0..0. .0..1..1. .0..0..0. .0..1..0. .0..0..0
..0..1..0. .1..1..0. .0..1..1. .0..0..0. .0..0..0. .1..0..1. .0..0..1
..1..0..1. .1..1..1. .0..0..1. .0..1..0. .0..0..0. .0..0..1. .0..1..1
..0..1..0. .0..1..0. .0..0..0. .1..1..1. .1..0..0. .1..1..0. .1..1..1
..0..0..0. .0..1..0. .0..1..1. .0..0..1. .0..1..1. .1..1..1. .0..0..1
CROSSREFS
Cf. A299937.
Sequence in context: A298275 A299137 A299368 * A058649 A273222 A103308
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 22 2018
STATUS
approved