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A229448
Number of 5 X n 0..2 arrays with horizontal differences mod 3 never 1, vertical differences mod 3 never -1, and rows and columns lexicographically nondecreasing.
1
17, 47, 128, 324, 753, 1609, 3184, 5890, 10281, 17075, 27176, 41696, 61977, 89613, 126472, 174718, 236833, 315639, 414320, 536444, 685985, 867345, 1085376, 1345402, 1653241, 2015227, 2438232, 2929688, 3497609, 4150613, 4897944, 5749494, 6715825
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = (11/60)*n^5 - (1/2)*n^4 + (15/4)*n^3 - 1*n^2 + (257/30)*n + 6.
Conjectures from Colin Barker, Sep 17 2018: (Start)
G.f.: x*(17 - 55*x + 101*x^2 - 79*x^3 + 44*x^4 - 6*x^5) / (1 - x)^6.
a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6) for n>6.
(End)
EXAMPLE
Some solutions for n=4:
..0..0..2..2....0..2..2..2....0..0..0..2....0..0..2..2....0..0..2..2
..0..0..2..2....1..0..2..2....1..1..1..0....1..1..0..0....1..1..0..2
..1..1..0..0....2..1..0..2....1..1..1..0....1..1..0..0....1..1..1..0
..2..2..1..1....2..1..1..0....2..2..2..1....1..1..0..0....2..2..2..1
..2..2..2..2....2..2..1..1....2..2..2..2....1..1..0..0....2..2..2..2
CROSSREFS
Row 5 of A229445.
Sequence in context: A201792 A039949 A220081 * A155841 A147058 A083296
KEYWORD
nonn
AUTHOR
R. H. Hardin, Sep 23 2013
STATUS
approved