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A205330 Number of (n+1)X4 0..2 arrays with the number of equal 2X2 subblock diagonal pairs and equal antidiagonal pairs differing from each horizontal or vertical neighbor, and new values 0..2 introduced in row major order 1

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

%S 396,4860,63270,827904,10839696,141909312,1857980448,24321964032,

%T 318441384576,4168528605696,54577498150656,714442081600512,

%U 9354000126167040,122447890915479552,1603175593043457024

%N Number of (n+1)X4 0..2 arrays with the number of equal 2X2 subblock diagonal pairs and equal antidiagonal pairs differing from each horizontal or vertical neighbor, and new values 0..2 introduced in row major order

%C Column 3 of A205335

%H R. H. Hardin, <a href="/A205330/b205330.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 192*a(n-2) -3844*a(n-4) +2656*a(n-5) +20720*a(n-6) -30528*a(n-7) +42944*a(n-8) -17408*a(n-9) -103424*a(n-10) +77824*a(n-11) -114688*a(n-12) +65536*a(n-13)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 26 2012

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Last modified April 19 08:45 EDT 2024. Contains 371782 sequences. (Running on oeis4.)