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A183635
Number of (n+1) X 3 0..3 arrays with every 2 X 2 subblock summing to 6.
1
136, 340, 952, 2884, 9256, 31060, 107992, 386404, 1415176, 5281780, 20015032, 76773124, 297329896, 1160228500, 4554034072, 17956283044, 71047145416, 281857767220, 1120444917112, 4460833796164, 17780522733736, 70933703913940
OFFSET
1,1
COMMENTS
Column 2 of A183642.
LINKS
FORMULA
Empirical: a(n) = 10*a(n-1) - 35*a(n-2) + 50*a(n-3) - 24*a(n-4).
Conjectures from Colin Barker, Mar 31 2018: (Start)
G.f.: 4*x*(34 - 255*x + 578*x^2 - 384*x^3) / ((1 - x)*(1 - 2*x)*(1 - 3*x)*(1 - 4*x)).
a(n) = 18 + 3*2^(3+n) + 2*3^(2+n) + 4^(1+n).
(End)
EXAMPLE
Some solutions for 5 X 3:
2 2 0 0 0 1 1 2 1 1 2 0 0 3 0 3 0 1 3 1 2
0 2 2 3 3 2 0 3 0 2 1 3 1 2 1 0 3 2 1 1 2
2 2 0 0 0 1 1 2 1 1 2 0 2 1 2 2 1 0 3 1 2
0 2 2 3 3 2 3 0 3 0 3 1 3 0 3 0 3 2 1 1 2
3 1 1 0 0 1 0 3 0 1 2 0 3 0 3 3 0 1 1 3 0
CROSSREFS
Cf. A183642.
Sequence in context: A349092 A098215 A247439 * A116223 A124241 A235198
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 06 2011
STATUS
approved