Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
A281534
Number of nX2 0..2 arrays with no element equal to more than one of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.
1
0, 0, 4, 104, 612, 3056, 16368, 82656, 397040, 1873344, 8687872, 39621504, 178384960, 794593024, 3506334976, 15347019264, 66696520448, 288032791552, 1236901206016, 5284853921792, 22477522539520, 95205886291968
OFFSET
1,3
COMMENTS
Column 2 of A281540.
LINKS
FORMULA
Empirical: a(n) = 12*a(n-1) -54*a(n-2) +136*a(n-3) -324*a(n-4) +720*a(n-5) -1064*a(n-6) +1632*a(n-7) -2208*a(n-8) +2048*a(n-9) -1920*a(n-10) +1536*a(n-11) -512*a(n-12)
EXAMPLE
Some solutions for n=4
..0..1. .0..1. .0..1. .0..1. .0..1. .0..1. .0..1. .0..1. .0..1. .0..1
..2..0. .0..2. .1..2. .0..1. .0..1. .0..2. .1..2. .0..2. .2..1. .0..1
..0..1. .2..0. .1..0. .2..0. .2..1. .0..2. .2..1. .2..0. .1..2. .0..1
..1..0. .2..1. .2..1. .0..2. .0..1. .0..1. .0..2. .1..0. .0..2. .2..2
CROSSREFS
Cf. A281540.
Sequence in context: A102439 A331456 A211150 * A006415 A333434 A181396
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 23 2017
STATUS
approved