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A203840
Number of n X 2 0..3 arrays with every nonzero element less than or equal to at least two horizontal and vertical neighbors.
1
1, 4, 16, 50, 184, 810, 3502, 14751, 63204, 274824, 1195748, 5201911, 22685592, 99123373, 433452835, 1896510229, 8302931200, 36367291798, 159341158550, 698313973844, 3060976848490, 13419502926856, 58838771883237
OFFSET
1,2
COMMENTS
Column 2 of A203846.
LINKS
FORMULA
Empirical: a(n) = 10*a(n-1) -39*a(n-2) +104*a(n-3) -251*a(n-4) +391*a(n-5) -483*a(n-6) +687*a(n-7) -378*a(n-8) +503*a(n-9) -247*a(n-10) -66*a(n-11) -292*a(n-12) -300*a(n-13) -217*a(n-14) -153*a(n-15) -70*a(n-16) -27*a(n-17) -8*a(n-18) -a(n-19).
EXAMPLE
Some solutions for n=4
..3..3....1..1....2..2....3..3....3..3....1..1....1..1....2..2....0..0....0..0
..3..3....2..2....2..2....3..3....3..3....1..1....3..3....3..3....2..2....0..0
..1..1....2..2....0..0....1..1....1..1....2..2....3..3....3..3....2..2....0..0
..0..0....0..0....0..0....0..0....0..0....2..2....0..0....3..3....0..0....0..0
CROSSREFS
Cf. A203846.
Sequence in context: A298173 A323932 A121184 * A089093 A316321 A058234
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 06 2012
STATUS
approved