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Number of 0..n arrays x(0..5) of 6 elements with zero 5th difference
1

%I #5 Mar 31 2012 12:36:38

%S 8,39,112,275,730,1589,3000,5181,8350,13871,21588,32019,45682,63225,

%T 88580,120521,159996,208123,266020,342493,433532,540855,666180,811455,

%U 992870,1201725,1440468,1711817,2018490,2387707,2803024,3268059,3786430

%N Number of 0..n arrays x(0..5) of 6 elements with zero 5th difference

%C Row 6 of A200154

%H R. H. Hardin, <a href="/A200157/b200157.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 2*a(n-1) -a(n-2) +2*a(n-5) -4*a(n-6) +2*a(n-7) +a(n-10) -2*a(n-11) +a(n-12) -4*a(n-15) +8*a(n-16) -4*a(n-17) +a(n-20) -2*a(n-21) +a(n-22) +2*a(n-25) -4*a(n-26) +2*a(n-27) -a(n-30) +2*a(n-31) -a(n-32)

%e Some solutions for n=6

%e ..0....2....1....6....5....1....3....2....6....5....4....5....1....2....6....6

%e ..5....4....3....1....3....0....3....4....3....4....4....5....1....0....6....1

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

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

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

%e ..5....2....6....1....0....1....3....2....1....5....4....0....1....2....1....6

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 13 2011