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A207277 Number of n X 2 0..3 arrays avoiding the patterns z z+1 z or z z-1 z in any row, column, diagonal or antidiagonal. 3

%I

%S 16,256,3364,45796,620944,8421604,114190596,1548422500,20996589604,

%T 284714019396,3860721976384,52351389401476,709884831344896,

%U 9626038324365376,130529079640391056,1769974318948977124

%N Number of n X 2 0..3 arrays avoiding the patterns z z+1 z or z z-1 z in any row, column, diagonal or antidiagonal.

%C Column 2 of A207283.

%H R. H. Hardin, <a href="/A207277/b207277.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 11*a(n-1) +28*a(n-2) +48*a(n-3) +536*a(n-4) +664*a(n-5) -205*a(n-6) -656*a(n-7) -535*a(n-8) +4*a(n-9) +212*a(n-10) +175*a(n-11) -36*a(n-12) +5*a(n-13) -8*a(n-14) +a(n-15).

%F a(n) = A207276(n)^2. - _Mark van Hoeij_, May 14 2013

%e Some solutions for n=4

%e ..2..3....1..0....2..3....2..2....2..2....3..1....2..0....1..3....3..3....0..0

%e ..3..0....1..3....3..0....1..0....1..0....1..2....1..0....2..1....0..1....3..0

%e ..1..2....1..3....0..2....0..3....3..2....0..2....3..0....2..1....0..0....1..1

%e ..3..2....3..1....1..3....0..0....2..0....0..0....1..2....0..3....3..2....2..1

%Y Cf. A207276, A207283.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 16 2012

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Last modified October 21 03:38 EDT 2021. Contains 348141 sequences. (Running on oeis4.)