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A209811 Number of (n+1)X6 0..3 arrays with every 2X2 subblock having two distinct values, and new values 0..3 introduced in row major order 1
5193, 244208, 11912459, 617966001, 32449786403, 1723218327331, 91909548662623, 4917823780419687, 263609759276860889, 14147871139557957761, 759925653262914195367, 40840782635408326316659, 2195747684499708647036777 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A209814

LINKS

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

FORMULA

Empirical: a(n) = 107*a(n-1) -1878*a(n-2) -137789*a(n-3) +4495053*a(n-4) +60979281*a(n-5) -3382378658*a(n-6) -5378727169*a(n-7) +1356204907007*a(n-8) -5005172801248*a(n-9) -338085898941018*a(n-10) +2348610841442425*a(n-11) +56536290959562784*a(n-12) -541259839742806307*a(n-13) -6608801096459681129*a(n-14) +81395189596556559983*a(n-15) +548394351778255652595*a(n-16) -8770207024501159865529*a(n-17) -31666973586868041812990*a(n-18) +710376576458807557547216*a(n-19) +1128924193484746151881180*a(n-20) -44551314523662218100563425*a(n-21) -7263266321979453932360270*a(n-22) +2206376031045169589972758106*a(n-23) -2026353407686910357730744032*a(n-24) -87454472438177627226033574345*a(n-25) +157141357413725898086880662843*a(n-26) +2799017239399371977020592788297*a(n-27) -7178294228784280740564781901801*a(n-28) -72691433711711173410574983496660*a(n-29) +239443617254126262209848548396745*a(n-30) +1533257431497069166591149239829307*a(n-31) -6221922488596066027751549217359670*a(n-32) -26159175017183962402068162814758501*a(n-33) +129627573400367716297066655136898331*a(n-34) +356671191170640145323147937051920800*a(n-35) -2198351761876285273302384497226420197*a(n-36) -3777310666553059903322898621430359569*a(n-37) +30602786767129664524288240851030652355*a(n-38) +28834501346077162987374441766139145544*a(n-39) -351203971753422209686115577891709785746*a(n-40) -116701428260928979532142632668200005284*a(n-41) +3327353660864163071142600026522029460808*a(n-42) -560017644613994507027394206455325197980*a(n-43) -25995896123168019862614781805551174366491*a(n-44) +15575168550871264099563278351155746483043*a(n-45) +166872533834247680226333166810473007305778*a(n-46) -165583631919347715240453270733787800300967*a(n-47) -874071453968014666788967372998585172431989*a(n-48) +1206235128308924857940819522655801838918602*a(n-49) +3692161451201415426488274381201249258574504*a(n-50) -6665858797205359780634341310843509685136667*a(n-51) -12319864530826648929075899837324201902878036*a(n-52) +28901545602486379348422349423810863556824093*a(n-53) +31170391469749070397533351890857301477542909*a(n-54) -99502674405964027780060847135394733515338115*a(n-55) -53857770398272002266481193998251821786322739*a(n-56) +272482776349046561779905216334225226036875695*a(n-57) +37540447794350619447986912229887791121752431*a(n-58) -590415367694103245739906836722138721711566806*a(n-59) +110686266599666467047553539311810235014535318*a(n-60) +1000112928372531572212817768326632301093822884*a(n-61) -473363054517674986586028935552949302192543622*a(n-62) -1296049222794051073104369660002451905377315569*a(n-63) +983069991779873415748977900612905249562346419*a(n-64) +1234590759437986624743595568834744319557269623*a(n-65) -1367316646006905669194495899803555096031034679*a(n-66) -790329430414292201826669496840547383132415040*a(n-67) +1352458505939904189893228637165571481776553934*a(n-68) +242440486825297403697854903558758025775196236*a(n-69) -955596064883055418717334290995333836848088796*a(n-70) +91237272508018656852555859600497039867416040*a(n-71) +470364980986922495221701297389250520645203036*a(n-72) -149414611561722834497002967906083481125218504*a(n-73) -151612194930909389895225913796358009798829200*a(n-74) +83459176699483481099731422805986592523856192*a(n-75) +27203058188450643926088113201093410799384736*a(n-76) -26266525941365495565985041894404510362335360*a(n-77) -835328187570826089554010524357221294549056*a(n-78) +4821949963807386895787459003961042725066880*a(n-79) -679112903590477098800215366046658653702208*a(n-80) -478646169765785125170403007240661020667264*a(n-81) +134388350157539529383186764724725440221184*a(n-82) +19845613671413486485308605949798443768832*a(n-83) -10375428852018050542986066625716287592960*a(n-84) +118385596283169479151035951638780557312*a(n-85) +342248518750406303246673137377100599296*a(n-86) -26440425803133463527797481814195814400*a(n-87) -4234051645813953234637647944641339392*a(n-88) +454953491082351367104806724121657344*a(n-89) +13225918069327774097709415191674880*a(n-90) -1738900086789955366482634541629440*a(n-91)

EXAMPLE

Some solutions for n=4

..0..0..0..0..1..0....0..0..0..0..1..1....0..0..0..0..1..0....0..1..1..0..2..1

..0..2..0..1..0..0....0..1..0..1..0..0....0..2..2..0..0..0....1..1..0..0..2..1

..0..2..0..0..0..1....1..0..1..0..0..1....0..2..0..2..0..1....3..1..0..2..2..1

..0..0..0..3..0..0....1..0..0..0..1..1....2..0..0..0..0..1....3..1..0..2..1..2

..0..1..0..0..3..3....0..0..1..1..0..0....0..0..1..1..1..0....1..1..0..2..1..2

CROSSREFS

Sequence in context: A247265 A252050 A028549 * A262909 A093071 A247266

Adjacent sequences:  A209808 A209809 A209810 * A209812 A209813 A209814

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 13 2012

STATUS

approved

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Last modified July 2 16:19 EDT 2020. Contains 335404 sequences. (Running on oeis4.)