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A204736 Number of (n+1)X5 0..1 arrays with rows and columns of permanents of all 2X2 subblocks lexicographically nondecreasing, and all 2X2 permanents nonzero 1

%I #5 Mar 31 2012 12:37:03

%S 63,304,1389,6176,26680,113694,476919,1988919,8234596,34021482,

%T 140153550,577020406,2373119682,9758784830,40115635266,164904149636,

%U 677790994154,2785909304418,11450373331929,47062739127883,193431925936638

%N Number of (n+1)X5 0..1 arrays with rows and columns of permanents of all 2X2 subblocks lexicographically nondecreasing, and all 2X2 permanents nonzero

%C Column 4 of A204740

%H R. H. Hardin, <a href="/A204736/b204736.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +30*a(n-2) -14*a(n-3) -363*a(n-4) +75*a(n-5) +2444*a(n-6) -156*a(n-7) -10383*a(n-8) -177*a(n-9) +29550*a(n-10) +1794*a(n-11) -57869*a(n-12) -4627*a(n-13) +78312*a(n-14) +6440*a(n-15) -71976*a(n-16) -5208*a(n-17) +42880*a(n-18) +2304*a(n-19) -14928*a(n-20) -432*a(n-21) +2304*a(n-22)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 18 2012

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Last modified April 19 16:52 EDT 2024. Contains 371794 sequences. (Running on oeis4.)