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A317810
Number of nX3 0..1 arrays with every element unequal to 0, 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
2
1, 2, 2, 4, 5, 8, 9, 28, 44, 60, 118, 256, 409, 700, 1342, 2570, 4409, 7921, 14776, 27269, 48326, 87891, 161611, 294704, 530298, 966374, 1764843, 3208891, 5812069, 10586099, 19278834, 35040632, 63631413, 115816700, 210701003, 383023861
OFFSET
1,2
COMMENTS
Column 3 of A317815.
LINKS
FORMULA
Empirical: a(n) = 2*a(n-1) -a(n-2) +2*a(n-3) +2*a(n-4) -8*a(n-5) +5*a(n-6) -8*a(n-7) +9*a(n-8) -4*a(n-9) +7*a(n-10) +2*a(n-11) -4*a(n-12) -2*a(n-13) -4*a(n-14) +2*a(n-15) -a(n-16) +2*a(n-17) for n>19
EXAMPLE
All solutions for n=5
..0..1..0. .0..0..0. .0..1..0. .0..0..1. .0..1..0
..1..1..0. .0..0..0. .1..1..0. .0..1..0. .1..0..1
..0..1..1. .0..0..0. .0..1..1. .1..1..0. .0..0..1
..0..1..0. .0..0..0. .0..1..0. .0..1..1. .1..0..0
..1..0..1. .0..0..0. .1..0..0. .0..1..0. .1..0..1
CROSSREFS
Cf. A317815.
Sequence in context: A222707 A326525 A326630 * A308954 A053097 A331443
KEYWORD
nonn
AUTHOR
R. H. Hardin, Aug 07 2018
STATUS
approved