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A237009 Number of (n+1)X(2+1) 0..3 arrays with the sum of all four elements of every 2X2 subblock equal 1

%I #4 Feb 02 2014 07:54:30

%S 704,1632,3928,10776,30248,92328,286168,938568,3112424,10749192,

%T 37426648,134315976,484881128,1790797128,6641272408,25056319368,

%U 94795789544,363296575752,1394805770968,5407003029576,20984006066408,82025728803528

%N Number of (n+1)X(2+1) 0..3 arrays with the sum of all four elements of every 2X2 subblock equal

%C Column 2 of A237015

%H R. H. Hardin, <a href="/A237009/b237009.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) +16*a(n-2) -268*a(n-3) +189*a(n-4) +3388*a(n-5) -5824*a(n-6) -20048*a(n-7) +49756*a(n-8) +52752*a(n-9) -196896*a(n-10) -24192*a(n-11) +369216*a(n-12) -131328*a(n-13) -262656*a(n-14) +165888*a(n-15)

%e Some solutions for n=5

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 02 2014

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Last modified April 19 06:44 EDT 2024. Contains 371782 sequences. (Running on oeis4.)