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A203832 Number of (n+1)X6 0..2 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements 1

%I #5 Mar 31 2012 12:36:58

%S 28125,1330353,66490965,3383285769,173185290765,8882824128417,

%T 455911325162757,23404859123410809,1201610596654827837,

%U 61692467471143085457,3167408545022070490293,162621217966800381937641

%N Number of (n+1)X6 0..2 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements

%C Column 5 of A203835

%H R. H. Hardin, <a href="/A203832/b203832.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 77*a(n-1) -1444*a(n-2) +5860*a(n-3) +38744*a(n-4) -300016*a(n-5) +339296*a(n-6) +1286720*a(n-7) -2655360*a(n-8) -56832*a(n-9) +1682944*a(n-10) -149504*a(n-11) -163840*a(n-12)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 06 2012

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Last modified April 19 09:23 EDT 2024. Contains 371782 sequences. (Running on oeis4.)