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A206571 Number of nX2 0..3 arrays avoiding the pattern z-1 z-1 z in any row, column or nw-to-se diagonal 4

%I

%S 16,256,3721,53824,777924,11242609,162486009,2348371600,33940324441,

%T 490529342884,7089470711236,102461949277801,1480851163185241,

%U 21402288176353681,309320714104227225,4470517516089946896

%N Number of nX2 0..3 arrays avoiding the pattern z-1 z-1 z in any row, column or nw-to-se diagonal

%C Column 2 of A206577

%H R. H. Hardin, <a href="/A206571/b206571.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 16*a(n-1) -12*a(n-2) -166*a(n-3) +134*a(n-4) +1595*a(n-5) -1291*a(n-6) -11538*a(n-7) +9401*a(n-8) +344*a(n-9) -2098*a(n-10) +2832*a(n-11) -1207*a(n-12) -846*a(n-13) +548*a(n-14) +637*a(n-15) -488*a(n-16) +102*a(n-17) -13*a(n-18) -161*a(n-19) +85*a(n-20) +20*a(n-21) -14*a(n-22) -4*a(n-23) +6*a(n-24) -4*a(n-25) +a(n-26) +2*a(n-27) -a(n-28)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 09 2012

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Last modified January 24 09:20 EST 2022. Contains 350534 sequences. (Running on oeis4.)