A221548 - OEIS

%I #5 Jan 19 2013 20:46:25

%S 1,10,71,494,3448,24055,167811,1170709,8167235,56977308,397492341,

%T 2773036806,19345613394,134961338332,941534521444,6568453351718,

%U 45823682988617,319681028423436,2230199610078620,15558603290655476

%N Number of nX2 arrays of occupancy after each element moves to some horizontal, vertical or antidiagonal neighbor, without move-in move-out left turns

%C Column 2 of A221551

%H R. H. Hardin, <a href="/A221548/b221548.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 11*a(n-1) -25*a(n-2) -46*a(n-3) +164*a(n-4) +129*a(n-5) -513*a(n-6) -301*a(n-7) +913*a(n-8) +562*a(n-9) -943*a(n-10) -675*a(n-11) +513*a(n-12) +436*a(n-13) -128*a(n-14) -111*a(n-15) +17*a(n-16) +6*a(n-17)

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 19 2013