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A183548
Number of nX3 0..2 arrays with each element equal to either the maximum or the minimum of its horizontal and vertical neighbors
1
3, 71, 583, 5287, 46841, 417809, 3721925, 33169105, 295565367, 2633809823, 23469955635, 209141864227, 1863672026457, 16607262667561, 147988036529381, 1318727810932497, 11751240682625031, 104715815140064955
OFFSET
1,1
COMMENTS
Column 3 of A183554
LINKS
FORMULA
Empirical: a(n)=12*a(n-1)-26*a(n-2)-33*a(n-3)+204*a(n-4)-244*a(n-5)-339*a(n-6)+256*a(n-7)+1324*a(n-8)-559*a(n-9)-4420*a(n-10)+5965*a(n-11)+8096*a(n-12)-10724*a(n-13)-1370*a(n-14)+5054*a(n-15)-15721*a(n-16)+9505*a(n-17)-7190*a(n-18)-20835*a(n-19)+2723*a(n-20)+1324*a(n-21)+2340*a(n-22)+2496*a(n-23)-1996*a(n-24)-452*a(n-25)+2222*a(n-26)+273*a(n-27)-941*a(n-28)+334*a(n-29)-61*a(n-30)-44*a(n-31)+12*a(n-32)
EXAMPLE
Some solutions for 5X3
..2..2..2....0..0..0....1..1..1....2..2..1....0..2..2....1..1..1....0..0..1
..0..0..0....2..2..0....1..1..1....0..2..1....0..2..1....2..2..0....0..0..1
..0..2..2....2..0..0....1..1..1....0..0..1....2..2..1....2..2..0....2..2..0
..2..1..2....0..0..0....0..2..0....0..0..1....2..2..2....2..0..0....0..2..0
..2..1..1....1..1..0....0..2..0....0..0..1....2..0..0....0..0..0....0..2..2
CROSSREFS
Sequence in context: A106894 A166449 A094458 * A111649 A349072 A272657
KEYWORD
nonn
AUTHOR
R. H. Hardin Jan 05 2011
STATUS
approved