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A296594
Number of nX3 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 1, 2 or 3 neighboring 1s.
1
4, 39, 228, 1441, 9194, 58251, 370000, 2348956, 14911425, 94666856, 600990310, 3815376381, 24221881145, 153772297152, 976221544080, 6197530535955, 39344946314271, 249780908473727, 1585731028946978, 10066993955147757
OFFSET
1,1
COMMENTS
Column 3 of A296599.
LINKS
FORMULA
Empirical: a(n) = 5*a(n-1) +6*a(n-2) +16*a(n-3) -a(n-4) +22*a(n-5) -29*a(n-6) -37*a(n-7) +59*a(n-8) -18*a(n-9) -43*a(n-10) +16*a(n-11) +11*a(n-12) -4*a(n-13) -6*a(n-14) +3*a(n-15) +2*a(n-16) -a(n-17)
EXAMPLE
Some solutions for n=6
..0..0..0. .0..0..0. .0..1..1. .1..1..1. .1..1..0. .1..0..1. .1..1..1
..0..1..0. .1..1..1. .0..0..1. .0..1..0. .0..0..0. .1..1..0. .1..0..1
..0..1..0. .0..1..0. .1..1..1. .0..0..1. .1..0..0. .0..1..0. .1..0..0
..0..0..0. .0..1..1. .0..0..0. .1..1..0. .1..0..0. .1..0..1. .1..0..0
..0..1..0. .0..1..1. .0..1..1. .1..0..1. .0..0..1. .0..1..1. .0..0..0
..0..1..1. .0..0..0. .1..1..0. .1..1..0. .1..1..1. .1..0..1. .1..1..0
CROSSREFS
Cf. A296599.
Sequence in context: A024212 A006408 A112460 * A290559 A360740 A059945
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 16 2017
STATUS
approved