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A279898
Number of nX4 0..2 arrays with no element unequal to a strict majority of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.
1
2, 8, 20, 56, 156, 428, 1208, 3316, 9168, 25200, 69152, 189996, 520700, 1426696, 3905118, 10677540, 29172966, 79621084, 217117820, 591513132, 1610070116, 4378827488, 11898970622, 32308585292, 87659016834, 237661886268
OFFSET
1,1
COMMENTS
Column 4 of A279902.
LINKS
FORMULA
Empirical: a(n) = 4*a(n-1) +4*a(n-2) -20*a(n-3) -26*a(n-4) +44*a(n-5) +74*a(n-6) +18*a(n-7) -25*a(n-8) -176*a(n-9) -246*a(n-10) +82*a(n-11) +331*a(n-12) +102*a(n-13) +91*a(n-14) -88*a(n-15) -360*a(n-16) +80*a(n-17) +140*a(n-18) -16*a(n-19) -16*a(n-20) for n>23
EXAMPLE
Some solutions for n=4
..0..0..1..1. .0..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..0..0
..0..0..1..1. .0..0..0..1. .0..0..0..0. .0..0..0..1. .0..0..0..0
..0..0..1..1. .2..2..2..2. .1..1..1..2. .0..0..0..0. .0..0..1..1
..0..0..2..1. .2..2..2..2. .1..1..1..1. .0..0..0..0. .0..1..1..1
CROSSREFS
Cf. A279902.
Sequence in context: A302323 A192698 A305050 * A221066 A238760 A174477
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 22 2016
STATUS
approved