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

%I #4 Dec 03 2014 16:30:15

%S 2270,86946,3361296,130169514,5042543734,195351371872,7568125133206,

%T 293198072124546,11358843131212260,440055171232822378,

%U 17048264028944367306,660470155275254978524,25587404413719974204546

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

%C Column 2 of A251499

%H R. H. Hardin, <a href="/A251493/b251493.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 46*a(n-1) -243*a(n-2) -1796*a(n-3) +12368*a(n-4) -4170*a(n-5) -57120*a(n-6) +67165*a(n-7) +32054*a(n-8) -72328*a(n-9) +15648*a(n-10) +13056*a(n-11) -4608*a(n-12)

%e Some solutions for n=2

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 03 2014