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A200470 Number of 0..n arrays x(0..5) of 6 elements with each no smaller than the sum of its four previous neighbors modulo (n+1) 1

%I #5 Mar 31 2012 12:36:39

%S 20,98,455,1213,3328,7140,15446,28023,51356,85228,141665,217763,

%T 335496,489964,716380,1000977,1400376,1894984,2565347,3373769,4439204,

%U 5709980,7346722,9262315,11681488,14491782,17981005,21979651,26872568,32446832

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

%C Row 6 of A200469

%H R. H. Hardin, <a href="/A200470/b200470.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-2) +a(n-4) -a(n-6) +3*a(n-8) -3*a(n-10) -3*a(n-12) +3*a(n-14) +2*a(n-15) -3*a(n-16) -2*a(n-17) +3*a(n-18) -2*a(n-19) +3*a(n-20) +2*a(n-21) -3*a(n-22) -6*a(n-23) +a(n-24) +6*a(n-25) -a(n-26) +6*a(n-27) -a(n-28) -6*a(n-29) +6*a(n-31) +a(n-32) -6*a(n-33) +a(n-34) -6*a(n-35) -a(n-36) +6*a(n-37) +3*a(n-38) -2*a(n-39) -3*a(n-40) +2*a(n-41) -3*a(n-42) +2*a(n-43) +3*a(n-44) -2*a(n-45) -3*a(n-46) +3*a(n-48) +3*a(n-50) -3*a(n-52) +a(n-54) -a(n-56) -a(n-58) +a(n-60)

%e Some solutions for n=6

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 18 2011

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