A231058 - OEIS

A231058

Number of n X 3 0..3 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero.

0, 6, 34, 208, 1272, 7818, 47998, 294832, 1810916, 11123242, 68322370, 419657160, 2577663664, 15832804586, 97249963694, 597339237368, 3669041620356, 22536383966338, 138425413185266, 850251533001856, 5222506855786032

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OFFSET

1,2

COMMENTS

Column 3 of A231063.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 8*a(n-1) -9*a(n-2) -20*a(n-3) +29*a(n-4) +22*a(n-5) -23*a(n-6) -14*a(n-7) -14*a(n-8) +4*a(n-9) +2*a(n-10).

EXAMPLE

Some solutions for n=4

..0..3..0....0..3..2....0..1..2....0..3..2....0..3..2....0..1..2....0..3..2