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A200255 Number of 0..n arrays x(0..5) of 6 elements with each no smaller than the sum of its previous elements modulo (n+1) 1

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

%S 21,96,476,1215,3387,7168,15724,28125,51895,85536,143052,218491,

%T 337869,491520,721208,1003833,1407681,1900000,2578060,3382071,4457431,

%U 5723136,7375716,9282325,11720787,14521248,18038972,22021875,26948985,32505856

%N Number of 0..n arrays x(0..5) of 6 elements with each no smaller than the sum of its previous elements modulo (n+1)

%C Row 6 of A200251

%H R. H. Hardin, <a href="/A200255/b200255.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) -2*a(n-3) +2*a(n-4) -2*a(n-5) +2*a(n-7) -2*a(n-9) +2*a(n-11) -2*a(n-12) +2*a(n-13) -2*a(n-15) +3*a(n-16) -4*a(n-17) +4*a(n-19) -4*a(n-20) +4*a(n-21) -4*a(n-23) +4*a(n-25) -4*a(n-27) +4*a(n-28) -4*a(n-29) +4*a(n-31) -3*a(n-32) +2*a(n-33) -2*a(n-35) +2*a(n-36) -2*a(n-37) +2*a(n-39) -2*a(n-41) +2*a(n-43) -2*a(n-44) +2*a(n-45) -2*a(n-47) +a(n-48)

%e Some solutions for n=6

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 15 2011

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