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A297602
Number of nX3 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 1 or 3 neighboring 1s.
1
7, 35, 181, 953, 4997, 26155, 137033, 717905, 3760657, 19700359, 103201589, 540625665, 2832090849, 14836035579, 77719229889, 407135626281, 2132798039801, 11172757117047, 58528983567693, 306606675825193, 1606172667510097
OFFSET
1,1
COMMENTS
Column 3 of A297607.
LINKS
FORMULA
Empirical: a(n) = 5*a(n-1) -a(n-2) +19*a(n-3) -36*a(n-4) -62*a(n-6) +62*a(n-7) +24*a(n-8) +4*a(n-9) -40*a(n-10) -32*a(n-11)
EXAMPLE
Some solutions for n=7
..0..0..0. .1..0..1. .0..0..0. .1..0..0. .1..0..1. .1..0..1. .0..0..0
..1..0..1. .1..0..0. .1..0..1. .0..0..0. .0..0..0. .0..0..0. .1..0..0
..1..0..1. .1..0..1. .1..0..1. .0..0..1. .0..0..1. .0..0..0. .1..0..1
..0..0..0. .0..1..1. .1..0..0. .0..0..1. .0..1..0. .0..0..0. .0..0..0
..0..1..0. .0..0..0. .1..0..0. .0..0..1. .0..1..0. .0..1..1. .1..0..1
..0..0..1. .1..0..0. .1..1..0. .1..0..0. .0..1..0. .1..0..1. .0..0..1
..0..0..1. .0..0..1. .1..0..0. .1..0..1. .0..1..0. .0..0..0. .1..1..1
CROSSREFS
Cf. A297607.
Sequence in context: A037506 A037689 A051926 * A289991 A295248 A295647
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 01 2018
STATUS
approved