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A188976 Number of nX2 array permutations with each element moved but moved no more than a city block distance of two 1

%I #6 Mar 31 2012 12:36:14

%S 1,9,116,900,7836,71865,640513,5706113,51056136,456396688,4078122040,

%T 36448590305,325763780945,2911451082361,26020738951500,

%U 232557947597540,2078461123504804,18576017680577225,166021162669244641

%N Number of nX2 array permutations with each element moved but moved no more than a city block distance of two

%C Column 2 of A188981

%H R. H. Hardin, <a href="/A188976/b188976.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 8*a(n-1) +3*a(n-2) +68*a(n-3) -142*a(n-4) -354*a(n-5) +225*a(n-6) +430*a(n-7) +47*a(n-8) +308*a(n-9) -16*a(n-10) -932*a(n-11) +281*a(n-12) +24*a(n-13) -195*a(n-14) +112*a(n-15) +22*a(n-16) +22*a(n-17) -a(n-18) -6*a(n-19) +a(n-20)

%e Some solutions for 3X2

%e ..1..5....1..0....2..5....2..3....2..0....3..5....1..0....2..3....4..0....4..0

%e ..4..2....3..5....1..0....5..4....5..1....1..2....5..4....0..1....1..2....1..5

%e ..0..3....2..4....3..4....0..1....3..4....0..4....3..2....5..4....5..3....3..2

%K nonn

%O 1,2

%A _R. H. Hardin_ Apr 14 2011

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Last modified March 28 14:19 EDT 2024. Contains 371254 sequences. (Running on oeis4.)