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A218051
Number of n X 1 arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..3 n X 1 array.
5
4, 4, 16, 36, 94, 236, 602, 1528, 3882, 9858, 25038, 63592, 161514, 410218, 1041884, 2646208, 6720920, 17069998, 43354902, 110114102, 279671154, 710317326, 1804085608, 4582071648, 11637685314, 29557748082, 75071670020, 190669317026
OFFSET
1,1
COMMENTS
Column 1 of A218056.
LINKS
FORMULA
Empirical: a(n) = 2*a(n-1) + a(n-2) + 2*a(n-4) + a(n-5).
Empirical g.f.: 2*x*(2 - 2*x + 2*x^2 - x^4) / (1 - 2*x - x^2 - 2*x^4 - x^5). - Colin Barker, Feb 19 2018
EXAMPLE
All solutions for n=3:
..2....0....3....2....3....2....3....2....0....1....1....1....1....3....0....0
..1....0....3....2....2....2....1....0....0....1....1....1....0....0....0....0
..1....0....3....3....2....2....1....0....2....2....3....1....0....0....1....3
CROSSREFS
Sequence in context: A158101 A038234 A099462 * A092266 A257606 A219398
KEYWORD
nonn
AUTHOR
R. H. Hardin, Oct 19 2012
STATUS
approved