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 A206254 Number of (n+1)X8 0..3 arrays with every 2X2 subblock having zero permanent 1

%I

%S 1343281,6990799321,603269103616,1006239668280961,186370092021300625,

%T 173223627538782109696,48673249000646115009649,

%U 33073672641937525219176361,11681343800269067725781401600

%N Number of (n+1)X8 0..3 arrays with every 2X2 subblock having zero permanent

%C Column 7 of A206255

%H R. H. Hardin, <a href="/A206254/b206254.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 760*a(n-1) +128388*a(n-2) -213382620*a(n-3) +16145776764*a(n-4) +22629583010268*a(n-5) -3838103572007826*a(n-6) -1210315733012118204*a(n-7) +300718177544003494572*a(n-8) +34602416054049234499380*a(n-9) -12994232799115556406238428*a(n-10) -424461018655040288964274332*a(n-11) +354738088375016440542715465857*a(n-12) -4468102499760252335669263322700*a(n-13) -6503279595087148111920138775297704*a(n-14) +277510620511494531092021166490945608*a(n-15) +82474473929335317230775863351392167768*a(n-16) -5498152145270648546778141658473380210280*a(n-17) -730250556612024541625665464361980553987644*a(n-18) +66038827852503719715205962805391055657831528*a(n-19) +4454491535522432110676326644177520535672544216*a(n-20) -540108571898317929022757321728674058151654948856*a(n-21) -17638208163687534281555446585669375079024593370040*a(n-22) +3137561439154039104522506690131458161394475752281160*a(n-23) +35177741666224179894440470136683380207557950404881265*a(n-24) -13167077208904047000367865266944534320529756493094436000*a(n-25) +43688889198602094578451687709368723846189065605963706100*a(n-26) +40059681408274406058034945112761538656935934971228508218900*a(n-27) -559303998260830692987736964847796546788703062392908431172500*a(n-28) -87771432361178289178636901099484386130605650745628635269864500*a(n-29) +1970952230186641634810668603114964552917890758676216330487800750*a(n-30) +136077400810169689982526569739166662423371010718064025496825012500*a(n-31) -4095902546984185377950722262594545453140105402446965117499282482500*a(n-32) -144310246460892961724788287171396935379985513568288457266808382717500*a(n-33) +5542901101468143355388555017417245989331094924883170007175870876412500*a(n-34) +97863154430359391429714370578878589638058204950929985039872979925812500*a(n-35) -4948606276747342422592839157088698145520612955481243300239160619474140625*a(n-36) -35626692188290247005328357918844203986310354588928055050257115648589687500*a(n-37) +2846147567503871277417727284205987598885268367591282809508000271004309750000*a(n-38) +1558504496045032163427441148226905337799471898023015748036005485495274000000*a(n-39) -994139983023571208552171600344573741307284156355708460656826831169915800000000*a(n-40) +3790457841254650180660547098562506369032591860002027197728771672226933600000000*a(n-41) +186441087666122050344500007570415430891032704492688753507221117662492164800000000*a(n-42) -1238842193344667836517765745100794188644120350672317241137923372915102560000000000*a(n-43) -13707763404230765904256670929061150807489951650788484448276534272953628800000000000*a(n-44) +112820113558796538181052142390479967845703559143834940276767811044190218240000000000*a(n-45)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 05 2012

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Last modified March 23 23:09 EDT 2023. Contains 361454 sequences. (Running on oeis4.)