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A231243 Number of nX5 0..3 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero 1

%I #4 Nov 06 2013 05:38:11

%S 0,146,3090,76264,1872136,46019438,1130422470,27772974680,

%T 682321382792,16763244199326,411838270131110,10118017508760932,

%U 248578825697527904,6107069206409843814,150038098056691694070,3686126702598216458948

%N Number of nX5 0..3 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero

%C Column 5 of A231246

%H R. H. Hardin, <a href="/A231243/b231243.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 15*a(n-1) +203*a(n-2) +785*a(n-3) +446*a(n-4) -8109*a(n-5) -27863*a(n-6) -32425*a(n-7) +67085*a(n-8) +92178*a(n-9) -67506*a(n-10) -164672*a(n-11) +79296*a(n-12) +123152*a(n-13) -58240*a(n-14) -80128*a(n-15) +113792*a(n-16) -18944*a(n-17) -11264*a(n-18) +3072*a(n-19)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 06 2013

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Last modified June 9 01:05 EDT 2024. Contains 373227 sequences. (Running on oeis4.)