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Number of (n+5)X1 arrays of occupancy after each element moves up to +-5 places but not 0
1

%I #4 Feb 24 2013 16:08:59

%S 456,1668,6220,23341,87752,330274,1244135,4688684,17678240,66670133,

%T 251457191,948433758,3577222198,13491914845,50884787739,191905944304,

%U 723728206116,2729294349873,10292348908806,38812294765020

%N Number of (n+5)X1 arrays of occupancy after each element moves up to +-5 places but not 0

%C Column 5 of A222555

%H R. H. Hardin, <a href="/A222552/b222552.txt">Table of n, a(n) for n = 1..71</a>

%F Empirical: a(n) = 11*a(n-1) -45*a(n-2) +84*a(n-3) -70*a(n-4) +21*a(n-5) +18*a(n-6) -200*a(n-7) +753*a(n-8) -1183*a(n-9) +631*a(n-10) +8*a(n-11) -2*a(n-12) +58*a(n-13) -32*a(n-14) -6*a(n-15)

%e Some solutions for n=3

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

%e ..0....0....2....1....2....0....6....0....0....0....3....0....0....0....0....4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 24 2013