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A204482 Number of (n+2)X9 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

%S 70726,111707,34964,33788,35990,47369,66580,159783,520508,1817618,

%T 6795292,25689877,97112294,368075253,1395441180,5289843312,

%U 20055181002,76035026065,288268814608,1092909806027,4143536006620,15709332277494

%N Number of (n+2)X9 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 7 of A204483

%H R. H. Hardin, <a href="/A204482/b204482.txt">Table of n, a(n) for n = 1..129</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..1..1..0..0..1..1..2..3....0..1..0..0..2..0..0..2..3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 15 2012

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Last modified January 28 23:12 EST 2022. Contains 350670 sequences. (Running on oeis4.)