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A280212
Number of nX2 0..2 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.
1
1, 2, 26, 92, 307, 1072, 3541, 11834, 38687, 125380, 403369, 1286926, 4082099, 12875608, 40414141, 126308002, 393216967, 1219867372, 3772323793, 11631678006, 35769955803, 109730814592, 335856708581, 1025808464330, 3127008856047
OFFSET
1,2
COMMENTS
Column 2 of A280217.
LINKS
FORMULA
Empirical: a(n) = 4*a(n-1) +6*a(n-2) -20*a(n-3) -49*a(n-4) +24*a(n-5) +148*a(n-6) +128*a(n-7) -48*a(n-8) -128*a(n-9) -64*a(n-10) for n>14
EXAMPLE
Some solutions for n=4
..0..1. .0..0. .0..1. .0..1. .0..1. .0..1. .0..0. .0..1. .0..0. .0..0
..1..1. .1..0. .0..0. .0..1. .2..2. .1..1. .0..0. .1..1. .1..1. .0..1
..1..1. .1..0. .2..2. .0..1. .2..1. .1..1. .0..1. .0..2. .1..1. .1..1
..2..1. .1..1. .2..2. .0..0. .1..1. .2..2. .0..1. .2..2. .1..2. .0..2
CROSSREFS
Cf. A280217.
Sequence in context: A337396 A067204 A202077 * A120551 A120547 A132470
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 29 2016
STATUS
approved