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A183636 Number of (n+1) X 4 0..3 arrays with every 2 X 2 subblock summing to 6. 1
452, 952, 2300, 6136, 17612, 53512, 170300, 563416, 1926572, 6776872, 24422300, 89839096, 336216332, 1276265032, 4900898300, 18994385176, 74156470892, 291175781992, 1148379038300, 4544596313656, 18031730594252, 71687168111752 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 3 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*(113 - 892*x + 2150*x^2 - 1536*x^3) / ((1 - x)*(1 - 2*x)*(1 - 3*x)*(1 - 4*x)).
a(n) = 110 + 25*2^(2+n) + 14*3^(1+n) + 4^(1+n).
(End)
EXAMPLE
Some solutions for 3 X 4:
0 2 0 3 0 3 1 3 1 2 0 2 2 0 1 0 0 3 0 3
3 1 3 0 3 0 2 0 1 2 2 2 2 2 3 2 1 2 1 2
1 1 1 2 0 3 1 3 1 2 0 2 1 1 0 1 0 3 0 3
CROSSREFS
Cf. A183642.
Sequence in context: A224568 A224561 A116308 * A222823 A205209 A236665
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 06 2011
STATUS
approved

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Last modified July 12 16:40 EDT 2024. Contains 374251 sequences. (Running on oeis4.)