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Number of (n+1)X(2+1) 0..3 arrays with every 2X2 subblock summing to 3 4 5 6 7 8 or 9
1

%I #4 Dec 03 2014 16:47:26

%S 3250,170038,8888108,464687066,24294592462,1270162626436,

%T 66406260528122,3471832190942254,181513288991552436,

%U 9489823318679339926,496144095673713305306,25939256760196067292272,1356148439815055707788150

%N Number of (n+1)X(2+1) 0..3 arrays with every 2X2 subblock summing to 3 4 5 6 7 8 or 9

%C Column 2 of A251507

%H R. H. Hardin, <a href="/A251501/b251501.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 51*a(n-1) +98*a(n-2) -1591*a(n-3) -1723*a(n-4) +10123*a(n-5) +2357*a(n-6) -17329*a(n-7) +4004*a(n-8) +5484*a(n-9) -1920*a(n-10)

%e Some solutions for n=2

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 03 2014