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A230911
Number of n X 4 0..7 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 8, and upper left element zero.
1
0, 0, 8, 118, 1506, 20028, 271450, 3678640, 49775880, 673343864, 9109364398, 123240784402, 1667327405972, 22557246670250, 305176478640952, 4128726222060840, 55857454913515424, 755694397322454686
OFFSET
1,3
LINKS
FORMULA
Empirical: a(n) = 18*a(n-1) - 91*a(n-2) + 469*a(n-3) - 919*a(n-4) + 2152*a(n-5) - 93*a(n-6) + a(n-7).
Empirical g.f.: 2*x^3*(1 - x)*(4 - 9*x + 46*x^2 - x^3) / (1 - 18*x + 91*x^2 - 469*x^3 + 919*x^4 - 2152*x^5 + 93*x^6 - x^7). - Colin Barker, Sep 22 2018
EXAMPLE
Some solutions for n=3:
..0..1..0..7....0..1..4..5....0..1..2..1....0..1..2..3....0..1..2..3
..2..3..6..5....2..3..6..7....0..3..0..7....0..1..4..5....0..7..4..3
..4..5..4..3....2..1..0..7....4..5..6..5....0..7..6..5....6..5..4..3
CROSSREFS
Column 4 of A230915.
Sequence in context: A341197 A342182 A194494 * A267752 A318009 A368911
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 01 2013
STATUS
approved