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 A206134 Number of (n+1) X 6 0..3 arrays with every 2 X 3 or 3 X 2 subblock having exactly three counterclockwise and three clockwise edge increases. 1

%I

%S 125236,17521788,2502596196,359793857820,51845281856116,

%T 7476894104333060,1078605317680077404,155614824084934672796,

%U 22452077551856021854724,3239428188830770758924532,467393277375896551656412380

%N Number of (n+1) X 6 0..3 arrays with every 2 X 3 or 3 X 2 subblock having exactly three counterclockwise and three clockwise edge increases.

%C Column 5 of A206137.

%H R. H. Hardin, <a href="/A206134/b206134.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 325*a(n-1) -39962*a(n-2) +2602995*a(n-3) -102241385*a(n-4) +2522576320*a(n-5) -36989955329*a(n-6) +198333634261*a(n-7) +3790157480225*a(n-8) -97629053534822*a(n-9) +948546808669662*a(n-10) -1865245590216017*a(n-11) -63527836813279735*a(n-12) +828912364555589542*a(n-13) -4299439419839889383*a(n-14) -3115577850231285459*a(n-15) +206419009675165330311*a(n-16) -1483916664737676101181*a(n-17) +4779518608584659209311*a(n-18) +1644057674310516260879*a(n-19) -87169124687733020312959*a(n-20) +384973226252077561488504*a(n-21) -623559321662137568475931*a(n-22) -1336499514113682173652461*a(n-23) +9725712307739544324017401*a(n-24) -21444814035331405377048738*a(n-25) +4368926779512593624907169*a(n-26) +96532341637592900707980512*a(n-27) -250105241260280339645862243*a(n-28) +186106401109086744498457152*a(n-29) +447682364378239599727240091*a(n-30) -1390153131872266127141730659*a(n-31) +1321079852661801331099163423*a(n-32) +932846052096155765830548360*a(n-33) -4074522234996742183022132089*a(n-34) +4349508257744402097069818934*a(n-35) +272102674945795467571536868*a(n-36) -6297601611579750141057367262*a(n-37) +7501518886834553600520312545*a(n-38) -2169092513772677497672826864*a(n-39) -4556403072588465677661388212*a(n-40) +6610267907422103131813256916*a(n-41) -3436891450867749042338090120*a(n-42) -764577517023649954148970667*a(n-43) +2486468452609006581962343010*a(n-44) -1760869458660092727758337853*a(n-45) +473628809813654303322014887*a(n-46) +171995734602599991006324408*a(n-47) -206459691775820493615475620*a(n-48) +71672064712819408154510601*a(n-49) +1744312825831936689202447*a(n-50) -10883855040074722628653026*a(n-51) +3675450619741111761072903*a(n-52) -10214100968280872776037*a(n-53) -337528000003061327368494*a(n-54) +86190379168132228056192*a(n-55) +4140712917618686932221*a(n-56) -6017579141225891412849*a(n-57) +846030326348316023470*a(n-58) +136030623466905846100*a(n-59) -50445401855285537281*a(n-60) +1618926630298965854*a(n-61) +1178203944049580158*a(n-62) -137862553801057432*a(n-63) -10876749205626414*a(n-64) +2608832641463856*a(n-65) -10210602200416*a(n-66) -20835285134832*a(n-67) +700722241904*a(n-68) +62297771808*a(n-69) -2691372416*a(n-70) -23077376*a(n-71).

%e Some solutions for n=4:

%e ..1..3..2..1..2..1....0..1..0..1..2..3....3..0..2..3..1..2....1..3..1..0..1..0

%e ..3..2..3..2..0..3....3..0..3..0..1..2....0..1..0..1..2..0....2..1..2..1..2..1

%e ..0..3..1..3..1..0....0..1..0..1..3..0....2..3..1..2..1..2....1..2..1..2..3..2

%e ..2..1..2..0..2..1....1..2..1..3..1..2....3..1..2..3..2..3....0..1..2..0..1..3

%e ..3..2..1..2..3..2....3..0..3..2..0..1....0..2..3..1..3..1....1..0..1..3..0..1

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 04 2012

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Last modified March 26 17:26 EDT 2023. Contains 361551 sequences. (Running on oeis4.)