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

2532, 551631, 122794254, 27327609576, 6080435385822, 1352952771405899, 301044368378558620, 66985084734298135608, 14904786179047249772283, 3316449502706465075744615, 737939958180870807368858115

Offset

1,1

Comments

Column 3 of A206600

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

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)

Example

Some solutions for n=4
..0..1..0..0....0..0..0..0....0..0..1..1....0..0..0..0....0..0..0..0
..1..1..0..1....0..1..2..2....1..0..0..2....0..1..2..1....1..1..2..0
..0..0..1..2....1..2..2..1....1..3..1..3....1..3..1..0....2..0..1..0
..3..2..1..1....1..0..2..0....3..3..1..1....0..1..0..2....3..2..2..1
..1..0..3..2....3..0..1..2....1..3..2..3....3..2..1..1....2..1..1..3

Crossrefs

Sequence in context: A203440 A231968 A172142 * A334932 A254021 A254014

Adjacent sequences: A206593 A206594 A206595 * A206597 A206598 A206599

Keyword

nonn

Author

R. H. Hardin Feb 09 2012

Status

approved