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A209908 Half the number of (n+1)X4 0..3 arrays with every 2X2 subblock having two or four distinct clockwise edge differences 1
5008, 295448, 16664508, 948609890, 53888573444, 3063300023090, 174099838817590, 9895452271443782, 562424112112339274, 31966511730858090194, 1816877220289293917242, 103265735487005016409152 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A209913

LINKS

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

FORMULA

Empirical: a(n) = 55*a(n-1) +923*a(n-2) -47071*a(n-3) -231407*a(n-4) +15527254*a(n-5) +7880250*a(n-6) -2573669497*a(n-7) +3681229288*a(n-8) +249190408738*a(n-9) -579450712511*a(n-10) -15545777999632*a(n-11) +42210038348626*a(n-12) +666118006004289*a(n-13) -1886332941998678*a(n-14) -20450809195283436*a(n-15) +57107262824986158*a(n-16) +462837772656461540*a(n-17) -1233589210852233412*a(n-18) -7872410572016992734*a(n-19) +19630990804163291243*a(n-20) +101986218315556639540*a(n-21) -235100512508203944296*a(n-22) -1015682793390488125566*a(n-23) +2150002789746681905996*a(n-24) +7825721744951506498234*a(n-25) -15163164422139297144181*a(n-26) -46841616343312521746791*a(n-27) +82995111044360045734710*a(n-28) +218301161066990302616716*a(n-29) -353790955288161781138915*a(n-30) -792601249983629087376567*a(n-31) +1175946145985688378644800*a(n-32) +2239982343619860900022721*a(n-33) -3045446389006222439252829*a(n-34) -4916701577362858573256478*a(n-35) +6130589140664657413790376*a(n-36) +8353918309455200803527969*a(n-37) -9556132008935803121684739*a(n-38) -10939049915929290500808672*a(n-39) +11474688682455975032157676*a(n-40) +10978124927194304878629570*a(n-41) -10543831886760113161536049*a(n-42) -8383988700731830638859763*a(n-43) +7352253368826483234978608*a(n-44) +4826725129284052501397921*a(n-45) -3849463056922623709810553*a(n-46) -2067854150675962492097465*a(n-47) +1492952670444499632838573*a(n-48) +647468497254091793151276*a(n-49) -421469451029786639157580*a(n-50) -144455861921375175788532*a(n-51) +84661307211707006760020*a(n-52) +22156825180654649239287*a(n-53) -11740439782116785076012*a(n-54) -2219666541575216243128*a(n-55) +1077870975515912576792*a(n-56) +134607253301714192944*a(n-57) -61608386055612989120*a(n-58) -4358301391935808576*a(n-59) +1995845043302066048*a(n-60) +56288530795526656*a(n-61) -31330477096792576*a(n-62) +102010241398784*a(n-63) +162473872068608*a(n-64) -2652426567680*a(n-65)

EXAMPLE

Some solutions for n=4

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

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

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

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

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

CROSSREFS

Sequence in context: A140921 A295459 A238926 * A217985 A201178 A252216

Adjacent sequences:  A209905 A209906 A209907 * A209909 A209910 A209911

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 15 2012

STATUS

approved

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Last modified May 18 08:03 EDT 2022. Contains 353785 sequences. (Running on oeis4.)