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A204477 Number of (n+2)X4 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..3 introduced in row major order 1

%I #5 Mar 31 2012 12:37:02

%S 307,1326,3147,2745,8114,29959,111707,425010,1602835,6076455,23038228,

%T 87322215,331059861,1255146516,4758551951,18041027869,68398734846,

%U 259319077335,983153218535,3727416848414,14131709526987,53577378404731

%N Number of (n+2)X4 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..3 introduced in row major order

%C Column 2 of A204483

%H R. H. Hardin, <a href="/A204477/b204477.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +a(n-2) -2*a(n-3) -19*a(n-4) -4*a(n-5) +21*a(n-6) +24*a(n-7) +3*a(n-8) -18*a(n-9) -9*a(n-10) for n>13

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 15 2012

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Last modified April 23 03:30 EDT 2024. Contains 371906 sequences. (Running on oeis4.)