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A206596 Number of (n+1)X4 0..3 arrays with every 2X3 or 3X2 subblock having no more than three equal edges, and new values 0..3 introduced in row major order 1

%I

%S 2532,551631,122794254,27327609576,6080435385822,1352952771405899,

%T 301044368378558620,66985084734298135608,14904786179047249772283,

%U 3316449502706465075744615,737939958180870807368858115

%N Number of (n+1)X4 0..3 arrays with every 2X3 or 3X2 subblock having no more than three equal edges, and new values 0..3 introduced in row major order

%C Column 3 of A206600

%H R. H. Hardin, <a href="/A206596/b206596.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 188*a(n-1) +5085*a(n-2) +538751*a(n-3) +7174168*a(n-4) +309429501*a(n-5) -1776082861*a(n-6) +28860632622*a(n-7) -359905728716*a(n-8) +2039075800421*a(n-9) -30459708500750*a(n-10) +174833793541111*a(n-11) -300293278143460*a(n-12) +4397179164685237*a(n-13) -34740353481829802*a(n-14) +252667207257063994*a(n-15) -1645737625781051525*a(n-16) +1494012905253706127*a(n-17) +7016560070067623526*a(n-18) +76250636913060634529*a(n-19) -91849233058660955961*a(n-20) -1313192270191739627435*a(n-21) +110708258209131272471*a(n-22) +6718782413596456239963*a(n-23) +17904054079780786238767*a(n-24) -19902748358486171917513*a(n-25) -90357037433300662770181*a(n-26) +46445505350553130768753*a(n-27) +2950156262169635403534*a(n-28) -351925328123940183340218*a(n-29) -1348773524441031306148778*a(n-30) +2320289764328887257556801*a(n-31) +5733881048375328976796963*a(n-32) +5705524487130220925381403*a(n-33) -4129763663354078121051878*a(n-34) -18824081542065485079480298*a(n-35) +6402061306263428361825365*a(n-36) -54648418465750083611143023*a(n-37) -34434863494730946433733616*a(n-38) +22875457596940403374259854*a(n-39) +168456136430463440566163050*a(n-40) +139329212119922460690166592*a(n-41) -210280867557016349286124992*a(n-42) -296620803307808911202487632*a(n-43) +197423562204775399833111400*a(n-44) +251880332423559645695653264*a(n-45) -22547688796924630026808928*a(n-46) -146149271363944797492462064*a(n-47) -94236527107917217827615488*a(n-48) +40465618821670955035582624*a(n-49) +31296678085789580806505728*a(n-50) +6191401187448994669092416*a(n-51) +24322993368343515722244352*a(n-52) -6447094900744642882702336*a(n-53) -12288897625302578809983488*a(n-54) +1920325887930781347131904*a(n-55) +736797463288573273427968*a(n-56) -133791108142820240271360*a(n-57) +65265035929730453483520*a(n-58) -11359380823472091340800*a(n-59) +3186497759104032768000*a(n-60) +102245622896443392000*a(n-61)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 09 2012

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Last modified December 7 09:15 EST 2021. Contains 349574 sequences. (Running on oeis4.)