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A183626
Number of (n+1) X 4 0..2 arrays with every 2 X 2 subblock summing to 4.
1
115, 189, 355, 741, 1675, 4029, 10195, 26901, 73435, 205869, 588835, 1709061, 5012395, 14807709, 43964275, 130975221, 391090555, 1169601549, 3501464515, 10489713381, 31439779915, 94260619389, 282664417555, 847758371541
OFFSET
1,1
COMMENTS
Column 3 of A183632.
LINKS
FORMULA
Empirical: a(n) = 6*a(n-1) - 11*a(n-2) + 6*a(n-3).
Conjectures from Colin Barker, Mar 30 2018: (Start)
G.f.: x*(115 - 501*x + 486*x^2) / ((1 - x)*(1 - 2*x)*(1 - 3*x)).
a(n) = 50 + 7*2^(2+n) + 3^(1+n).
(End)
EXAMPLE
Some solutions for 3 X 4:
1 1 2 2 1 1 1 1 0 2 1 1 1 1 1 1 0 2 2 2
1 1 0 0 0 2 0 2 2 0 1 1 1 1 1 1 2 0 0 0
1 1 2 2 1 1 1 1 1 1 2 0 0 2 0 2 0 2 2 2
CROSSREFS
Cf. A183632.
Sequence in context: A095621 A051975 A363790 * A224673 A181931 A229324
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 06 2011
STATUS
approved