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A229444
Number of n X 7 0..2 arrays with horizontal differences mod 3 never 1, vertical differences mod 3 never -1, and rows and columns lexicographically nondecreasing.
1
9, 32, 138, 665, 3184, 14536, 62205, 247607, 914271, 3133068, 9990129, 29755249, 83162347, 219151523, 547116607, 1299869098, 2951439969, 6429248828, 13483439736, 27310437901, 53577074678, 102061137870, 189220453845
OFFSET
1,1
COMMENTS
Column 7 of A229445.
LINKS
FORMULA
Empirical: a(n) = (797/43589145600)*n^14 - (127/1245404160)*n^13 + (1/1451520)*n^12 + (335/19160064)*n^11 - (1381/10886400)*n^10 + (449/322560)*n^9 - (216523/30481920)*n^8 + (653459/8709120)*n^7 - (2384537/4838400)*n^6 + (2642473/870912)*n^5 - (275452937/23950080)*n^4 + (131909609/3991680)*n^3 - (38524939/687960)*n^2 + (21925483/360360)*n - 20.
EXAMPLE
Some solutions for n=4
..0..0..0..0..2..2..2....0..0..0..2..2..2..2....0..0..2..2..2..2..2
..0..0..0..0..2..2..2....1..1..1..0..2..2..2....1..1..0..0..2..2..2
..1..1..1..1..0..0..0....1..1..1..1..0..2..2....1..1..1..1..0..0..0
..2..2..2..2..1..1..1....1..1..1..1..1..0..2....2..2..1..1..1..1..1
CROSSREFS
Cf. A229445.
Sequence in context: A367669 A231999 A297298 * A300773 A317279 A196016
KEYWORD
nonn
AUTHOR
R. H. Hardin, Sep 23 2013
STATUS
approved