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A210272 Half the number of (n+1)X5 0..2 arrays with every 2X2 subblock having two or three distinct clockwise edge differences 1

%I #5 Mar 31 2012 12:37:32

%S 16620,2307956,321050788,44678808183,6218088462292,865403655856588,

%T 120443009719061218,16762728653468925176,2332963101699637083278,

%U 324691585708247938940794,45189152848885338414135408

%N Half the number of (n+1)X5 0..2 arrays with every 2X2 subblock having two or three distinct clockwise edge differences

%C Column 4 of A210276

%H R. H. Hardin, <a href="/A210272/b210272.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 142*a(n-1) +1390*a(n-2) -255743*a(n-3) -110496*a(n-4) +169565270*a(n-5) -665183207*a(n-6) -52878902879*a(n-7) +395903765675*a(n-8) +8133200677492*a(n-9) -92576230139190*a(n-10) -542663156454254*a(n-11) +10497292789475974*a(n-12) +2631885281757262*a(n-13) -646106145808214387*a(n-14) +1826441384938919701*a(n-15) +22362684125873346283*a(n-16) -123476318341203413496*a(n-17) -395337011643732047682*a(n-18) +4142092565872768583256*a(n-19) +605782653333712666179*a(n-20) -83518787705085031195627*a(n-21) +136634888376530178952716*a(n-22) +1040134849078032981074015*a(n-23) -3402074914964904960822357*a(n-24) -7239465059314247652144549*a(n-25) +44377737415311976751838594*a(n-26) +9840741933860801981979443*a(n-27) -361590798269938925507784670*a(n-28) +321818684009046992762532501*a(n-29) +1883576717146322164819296451*a(n-30) -3479890138790632205298850558*a(n-31) -5878393363654009470130124838*a(n-32) +19078667220689449803911834552*a(n-33) +7392854341921657854446418742*a(n-34) -65742784478773744652167403362*a(n-35) +19627223671361316822942496555*a(n-36) +149839903328239191224944472173*a(n-37) -117630629870435594695245179193*a(n-38) -226767728498105405443631444233*a(n-39) +284875215327416958030542435899*a(n-40) +219032259251618705695478104114*a(n-41) -424657211702672231000865863606*a(n-42) -114298568153964486240525208337*a(n-43) +426463674134772011008406591220*a(n-44) -1465111296208263054958667449*a(n-45) -298361702108034534055790446739*a(n-46) +50042360589416264853656878477*a(n-47) +147499557244192463582697992372*a(n-48) -39645514435604456524417564586*a(n-49) -51787606560690998053903082159*a(n-50) +16872384336675821704842993456*a(n-51) +12907214080006987000746559571*a(n-52) -4471894138938904280092501035*a(n-53) -2270649243797947159981070488*a(n-54) +757433256288002048852712547*a(n-55) +277898940359626427914691228*a(n-56) -80741549607760164976554158*a(n-57) -22888243320669979845951670*a(n-58) +5181436657383846894790730*a(n-59) +1185029940722673827637793*a(n-60) -185251468573962367963557*a(n-61) -33904216065585670936623*a(n-62) +3275032115968437164460*a(n-63) +413089312994017424066*a(n-64) -25348341919215966472*a(n-65) -1274153174398735370*a(n-66) +12493913728073620*a(n-67) +443471547890804*a(n-68) -2001148574736*a(n-69)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 19 2012

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Last modified April 23 16:40 EDT 2024. Contains 371916 sequences. (Running on oeis4.)