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A238282
Number of (n+1)X(2+1) 0..3 arrays with no element greater than all horizontal neighbors or less than all vertical neighbors
1
16, 204, 1844, 13948, 105862, 850420, 6953993, 56279542, 451637564, 3624058880, 29149448933, 234656231134, 1888292962943, 15189590878387, 122183775722351, 982931386549726, 7907698617955660, 63616689428833346, 511782089100478490
OFFSET
1,1
COMMENTS
Column 2 of A238287
LINKS
FORMULA
Empirical: a(n) = 10*a(n-1) -39*a(n-2) +185*a(n-3) -107*a(n-4) +907*a(n-5) +577*a(n-6) +1691*a(n-7) -223*a(n-8) -2043*a(n-9) -4899*a(n-10) -7123*a(n-11) -255*a(n-12) +10972*a(n-13) +9211*a(n-14) -2698*a(n-15) -7428*a(n-16) -2381*a(n-17) +1946*a(n-18) +1556*a(n-19) +67*a(n-20) -283*a(n-21) -88*a(n-22) +9*a(n-23) +8*a(n-24) +a(n-25)
EXAMPLE
Some solutions for n=5
..3..3..0....3..3..2....1..1..1....1..1..0....2..2..0....3..3..1....3..3..3
..1..1..0....2..2..2....1..1..1....1..1..0....0..0..0....3..3..1....1..2..2
..0..1..1....1..1..0....1..1..0....3..3..0....0..0..0....2..2..1....1..2..2
..0..3..3....0..0..0....1..1..0....2..2..0....0..3..3....1..1..0....2..2..1
..2..2..1....0..0..0....3..3..0....2..2..0....0..1..1....1..1..0....2..2..1
..2..2..1....2..2..0....3..3..2....2..2..2....0..1..1....3..3..2....2..2..1
CROSSREFS
Sequence in context: A282834 A144632 A221825 * A161729 A157707 A016217
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 22 2014
STATUS
approved