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A210295 Half the number of (n+1)X4 0..3 arrays with every 2X2 subblock having at most one duplicate clockwise edge difference 1

%I

%S 22212,3913002,688122928,121040117840,21290108702694,3744799069935140,

%T 658686645074030420,115858857345804835112,20378847387666462558384,

%U 3584511632177122331815826,630493147720709548341110160

%N Half the number of (n+1)X4 0..3 arrays with every 2X2 subblock having at most one duplicate clockwise edge difference

%C Column 3 of A210300

%H R. H. Hardin, <a href="/A210295/b210295.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 89*a(n-1) +13157*a(n-2) +389069*a(n-3) -1384035*a(n-4) -211162482*a(n-5) -1549456301*a(n-6) +42301277001*a(n-7) +466928153966*a(n-8) -4636261628670*a(n-9) -55128128224832*a(n-10) +370751533087284*a(n-11) +3366354707337810*a(n-12) -22328435349746783*a(n-13) -104225586284146240*a(n-14) +854175060405263249*a(n-15) +1356653716889515994*a(n-16) -19014830237877987785*a(n-17) +1641730329097749459*a(n-18) +256668713343803607594*a(n-19) -283850920478207204987*a(n-20) -2200294064793077336507*a(n-21) +4154431081333758524078*a(n-22) +12254595197762182258478*a(n-23) -33166018406798565230723*a(n-24) -43660613542365036610556*a(n-25) +172531281339678957598286*a(n-26) +88036428021597428197209*a(n-27) -625557643239287634051441*a(n-28) -23488192916919589683517*a(n-29) +1636756886811883299604832*a(n-30) -442333142615381849970325*a(n-31) -3152132125041319182680446*a(n-32) +1533956445599466795911458*a(n-33) +4515914651803603902684910*a(n-34) -2932944704976521929884611*a(n-35) -4830584383987916740632024*a(n-36) +3775053091249940154032353*a(n-37) +3846801776006926918007885*a(n-38) -3460648164297796666212481*a(n-39) -2256322426820416632944954*a(n-40) +2304224975397278803664632*a(n-41) +953248109109959969062182*a(n-42) -1118222886327243392812829*a(n-43) -277325475138122658765711*a(n-44) +392751143869987029073276*a(n-45) +49871755862759374267644*a(n-46) -98198482347792029581086*a(n-47) -3448131392053862639088*a(n-48) +16996739270349483155420*a(n-49) -629760756032881599916*a(n-50) -1947252693503640580336*a(n-51) +187435119472858365264*a(n-52) +136824568314528078056*a(n-53) -20462735030764896544*a(n-54) -5048721444724223120*a(n-55) +1073513772269316096*a(n-56) +56813024280410624*a(n-57) -23345441504431360*a(n-58) +926557026393600*a(n-59) +87338144019456*a(n-60) -5478877973504*a(n-61) -13004288000*a(n-62) +3319529472*a(n-63)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 19 2012

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Last modified November 26 17:52 EST 2021. Contains 349343 sequences. (Running on oeis4.)