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A267928 Number of n X 1 0..3 arrays with every repeated value in every row and column greater than the previous repeated value. 3
4, 16, 60, 222, 804, 2872, 10132, 35383, 122480, 420752, 1435736, 4870132, 16432216, 55178416, 184481816, 614348813, 2038435340, 6740997616, 22223182372, 73053304378, 239502956924, 783241953896, 2555428926860, 8319101465587 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 1 of A267933.
LINKS
FORMULA
Empirical: a(n) = 12*a(n-1) - 48*a(n-2) + 44*a(n-3) + 150*a(n-4) - 252*a(n-5) - 216*a(n-6) + 324*a(n-7) + 243*a(n-8).
Empirical g.f.: x*(4 - 32*x + 60*x^2 + 94*x^3 - 284*x^4 - 152*x^5 + 388*x^6 + 259*x^7) / ((1 + x)^3*(1 - 3*x)^5). - Colin Barker, Feb 25 2018
EXAMPLE
Some solutions for n=8
..2....0....3....1....3....1....2....2....1....3....2....0....0....1....1....0
..1....1....1....2....2....0....1....2....0....1....3....1....0....1....1....3
..2....0....3....1....1....2....1....3....0....0....1....3....1....0....3....1
..0....0....0....2....3....0....2....3....2....3....2....1....0....1....1....2
..3....1....1....0....3....2....0....2....0....0....1....0....2....3....2....1
..1....1....2....3....1....1....2....0....2....2....1....2....0....3....3....2
..1....2....1....1....2....3....1....2....1....0....3....3....3....0....0....3
..3....3....1....3....3....1....0....0....3....3....0....0....1....3....3....3
CROSSREFS
Cf. A267933.
Sequence in context: A273347 A268939 A269635 * A269532 A269673 A231896
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 22 2016
STATUS
approved

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Last modified May 28 01:12 EDT 2024. Contains 372900 sequences. (Running on oeis4.)