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A210330 1/4 the number of (n+1)X4 0..3 arrays with every 2X2 subblock having two or three distinct clockwise edge differences 1
4200, 344659, 27838382, 2266459861, 184424586007, 15012328786175, 1221987668386411, 99470467438933662, 8096941300038116275, 659095469881106261480, 53650730613934794603692, 4367199035171179628864481 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 3 of A210335
LINKS
FORMULA
Empirical: a(n) = 140*a(n-1) -5048*a(n-2) -23365*a(n-3) +4584810*a(n-4) -58220704*a(n-5) -1208071283*a(n-6) +30838348016*a(n-7) +46781002450*a(n-8) -6610272669799*a(n-9) +33388421310781*a(n-10) +724931448827996*a(n-11) -7330140469767465*a(n-12) -38529835529169361*a(n-13) +750770095780529564*a(n-14) +104547760010327276*a(n-15) -45822745228789445629*a(n-16) +124886909490991773867*a(n-17) +1772584705154196067963*a(n-18) -9188006643225676802179*a(n-19) -42487551119663686790240*a(n-20) +369441396567930016447963*a(n-21) +493046341331884330242325*a(n-22) -9840007964400110991140626*a(n-23) +4577246401662065605851681*a(n-24) +184119139789121757095000706*a(n-25) -324697880502964050967877701*a(n-26) -2457999961706566468164419681*a(n-27) +7357259533993676894189678070*a(n-28) +22913914256580375682856411562*a(n-29) -105938294940954623488202172345*a(n-30) -133797398187861506534787512518*a(n-31) +1088287205984201969751840912702*a(n-32) +214149173009648038478719960791*a(n-33) -8295244297697700252477102952711*a(n-34) +4551271399893045426167401874520*a(n-35) +47492148653867277925166063188222*a(n-36) -55467328086449248198445554895418*a(n-37) -203044727836439247258180379708115*a(n-38) +364953161964814879802809348845513*a(n-39) +629000600003594042909200245131002*a(n-40) -1656973614766749241452655210247331*a(n-41) -1286419122570055663502048783109264*a(n-42) +5521435181568923625231432851494067*a(n-43) +1085213406458212188709424799285359*a(n-44) -13763133278895135251639489780210047*a(n-45) +2932860737587723748361214175457686*a(n-46) +25672766856385812407325333095611470*a(n-47) -13928357412518894891097071827999092*a(n-48) -35342311049626777492661042089369341*a(n-49) +30149006440809583122467985587701935*a(n-50) +34731032869049446788157006292902188*a(n-51) -42409921614806508539702333650807347*a(n-52) -22523081462687078837390075946641420*a(n-53) +41474885258750816250324684644171213*a(n-54) +7300575902610538123306992258616268*a(n-55) -28518904133762111651213915708675288*a(n-56) +1573935469653866497475056486719028*a(n-57) +13609710325408504350514230640881256*a(n-58) -3000959034483091478767274705019179*a(n-59) -4366242148634467525612510604850896*a(n-60) +1533561432404703029191784717830830*a(n-61) +891878386621906486208161657560730*a(n-62) -421653290626187252410928504168962*a(n-63) -105776373439489265946108677516538*a(n-64) +66067934140142616805443885636242*a(n-65) +6007572598581250574435738268266*a(n-66) -5638660751066341761268282571708*a(n-67) -71565691223184653218166474032*a(n-68) +231250260842273331695302457980*a(n-69) -3237179075004335463427133468*a(n-70) -3230599808041743511640862256*a(n-71) -41722134296876122805175792*a(n-72)
EXAMPLE
Some solutions for n=4
..3..2..2..1....3..0..1..0....0..1..0..1....1..0..0..1....3..0..1..3
..1..2..3..0....0..3..2..3....3..2..3..2....1..0..3..2....2..1..1..2
..1..3..2..1....1..2..2..1....3..2..2..1....0..1..2..2....1..1..0..2
..1..1..1..0....1..0..0..0....1..1..2..0....1..1..1..0....0..0..0..0
..3..2..1..0....0..0..1..1....1..0..0..2....3..2..0..0....2..1..1..0
CROSSREFS
Sequence in context: A152511 A252316 A103614 * A020438 A002241 A059005
KEYWORD
nonn
AUTHOR
R. H. Hardin Mar 20 2012
STATUS
approved

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)