A206471 - OEIS

%I #5 Mar 31 2012 12:37:11

%S 116281,82609921,4803737481,1457044540561,144660587865049,

%T 30374762423377761,3848918441303655721,685519912635644947249,

%U 97075380100800976220025,16048326634124121062046721

%N Number of (n+1)X8 0..2 arrays with every 2X2 subblock having zero permanent

%C Column 7 of A206472

%H R. H. Hardin, <a href="/A206471/b206471.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 187*a(n-1) +16890*a(n-2) -4251100*a(n-3) -40650128*a(n-4) +34942108176*a(n-5) -509473309952*a(n-6) -143301983645440*a(n-7) +3781912316451840*a(n-8) +331477180236791808*a(n-9) -11437248501456273408*a(n-10) -456953450334995742720*a(n-11) +19427954988478986715136*a(n-12) +378498296435438535049216*a(n-13) -20467094815444348981739520*a(n-14) -176626051842769499929444352*a(n-15) +13996085228807881237465137152*a(n-16) +30568383723039618710120693760*a(n-17) -6355164028117009141540627415040*a(n-18) +12457938945007485052056640684032*a(n-19) +1929828810876076957792938988929024*a(n-20) -9299483116586836848017963795611648*a(n-21) -389157136861521793604550385668718592*a(n-22) +2708325225472310296274920611243884544*a(n-23) +50924689860837777608863804409805537280*a(n-24) -447452547804564001571380763718647283712*a(n-25) -4125665523625190917601565450289790582784*a(n-26) +44428660564874781732775601609703285587968*a(n-27) +186837790537674954483787089018593126383616*a(n-28) -2618004719714992257591615094837678769700864*a(n-29) -3397132551485027226296690950170149841272832*a(n-30) +86176350300963117293366090863279754170073088*a(n-31) -38719009409154496417441531127358038313271296*a(n-32) -1390107790923631754160207042472622108971106304*a(n-33) +2057972867841973929472259334257306497261240320*a(n-34) +7785693287184378683612676651109988061281255424*a(n-35) -15061387791262419693934415229148488062591827968*a(n-36)

%e Some solutions for n=4

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

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

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

%e ..0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..2....0..2..0..0..0..2..0..0

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 08 2012