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A204737 Number of (n+1)X6 0..1 arrays with rows and columns of permanents of all 2X2 subblocks lexicographically nondecreasing, and all 2X2 permanents nonzero 1

%I

%S 127,787,4658,26680,150132,825967,4484324,24023995,127616792,

%T 673204594,3535577183,18509541226,96712184040,504679036873,

%U 2631617119665,13716179353279,71471248551114,372362238257961,1939834501404876

%N Number of (n+1)X6 0..1 arrays with rows and columns of permanents of all 2X2 subblocks lexicographically nondecreasing, and all 2X2 permanents nonzero

%C Column 5 of A204740

%H R. H. Hardin, <a href="/A204737/b204737.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +59*a(n-2) -214*a(n-3) -1614*a(n-4) +5352*a(n-5) +27270*a(n-6) -83252*a(n-7) -319643*a(n-8) +903956*a(n-9) +2766553*a(n-10) -7287642*a(n-11) -18367828*a(n-12) +45294280*a(n-13) +95901032*a(n-14) -222401824*a(n-15) -400383351*a(n-16) +876926316*a(n-17) +1351505325*a(n-18) -2806673354*a(n-19) -3713824862*a(n-20) +7339834328*a(n-21) +8336015566*a(n-22) -15733261092*a(n-23) -15287824573*a(n-24) +27644978428*a(n-25) +22842819983*a(n-26) -39697481254*a(n-27) -27634483104*a(n-28) +46287363960*a(n-29) +26787286500*a(n-30) -43363058120*a(n-31) -20476685072*a(n-32) +32117613056*a(n-33) +12050735440*a(n-34) -18358384416*a(n-35) -5261146752*a(n-36) +7802213760*a(n-37) +1602873792*a(n-38) -2318827392*a(n-39) -303851520*a(n-40) +429649920*a(n-41) +26956800*a(n-42) -37324800*a(n-43)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 18 2012

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Last modified November 28 01:20 EST 2021. Contains 349395 sequences. (Running on oeis4.)