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A204480 Number of (n+2)X7 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 7191,8114,2632,3270,6494,11338,35990,132258,473380,1786812,6773680,

%T 25609458,97080840,368071380,1395260888,5289809914,20055230346,

%U 76034546154,288268775378,1092910015022,4143534627852,15709332220768

%N Number of (n+2)X7 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 5 of A204483

%H R. H. Hardin, <a href="/A204480/b204480.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..1..0..0..2..2..0....0..1..1..2..2..0..0....0..1..0..0..2..2..3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 15 2012

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Last modified April 24 13:55 EDT 2024. Contains 371958 sequences. (Running on oeis4.)