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A205166 Number of (n+1)X5 0..3 arrays with every 2X2 subblock having unequal diagonal elements or unequal antidiagonal elements, and new values 0..3 introduced in row major order 1

%I #5 Mar 31 2012 12:37:05

%S 33831,26702419,21125224557,16713430246949,13223001109687815,

%T 10461512493459648399,8276732547425415428669,

%U 6548221560172100787717125,5180692423659560643509585071,4098757768339496789285781750439

%N Number of (n+1)X5 0..3 arrays with every 2X2 subblock having unequal diagonal elements or unequal antidiagonal elements, and new values 0..3 introduced in row major order

%C Column 4 of A205170

%H R. H. Hardin, <a href="/A205166/b205166.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 833*a(n-1) -33758*a(n-2) +523880*a(n-3) -3857129*a(n-4) +13605853*a(n-5) -17604432*a(n-6) -15652010*a(n-7) +55894364*a(n-8) -22106688*a(n-9) -29904720*a(n-10) +18240672*a(n-11) +492672*a(n-12) -1016064*a(n-13)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 22 2012

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Last modified April 25 12:15 EDT 2024. Contains 371969 sequences. (Running on oeis4.)