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%I #5 Mar 31 2012 12:36:40
%S 17,89,432,1217,3283,7322,15504,28743,52389,87890,145070,225134,
%T 345639,507376,738960,1038003,1448418,1966975,2656248,3504620,4603324,
%U 5934897,7622356,9631810,12132029,15075684,18682566,22873460,27937667,33775988
%N Number of 0..n arrays x(0..5) of 6 elements with each no smaller than the sum of its three previous neighbors modulo (n+1)
%C Row 6 of A200668
%H R. H. Hardin, <a href="/A200670/b200670.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = -4*a(n-1) -11*a(n-2) -23*a(n-3) -40*a(n-4) -59*a(n-5) -74*a(n-6) -75*a(n-7) -50*a(n-8) +11*a(n-9) +112*a(n-10) +244*a(n-11) +385*a(n-12) +497*a(n-13) +536*a(n-14) +458*a(n-15) +238*a(n-16) -121*a(n-17) -575*a(n-18) -1044*a(n-19) -1421*a(n-20) -1595*a(n-21) -1481*a(n-22) -1044*a(n-23) -322*a(n-24) +578*a(n-25) +1489*a(n-26) +2226*a(n-27) +2618*a(n-28) +2560*a(n-29) +2034*a(n-30) +1125*a(n-31) -1125*a(n-33) -2034*a(n-34) -2560*a(n-35) -2618*a(n-36) -2226*a(n-37) -1489*a(n-38) -578*a(n-39) +322*a(n-40) +1044*a(n-41) +1481*a(n-42) +1595*a(n-43) +1421*a(n-44) +1044*a(n-45) +575*a(n-46) +121*a(n-47) -238*a(n-48) -458*a(n-49) -536*a(n-50) -497*a(n-51) -385*a(n-52) -244*a(n-53) -112*a(n-54) -11*a(n-55) +50*a(n-56) +75*a(n-57) +74*a(n-58) +59*a(n-59) +40*a(n-60) +23*a(n-61) +11*a(n-62) +4*a(n-63) +a(n-64)
%e Some solutions for n=6
%e ..5....3....1....1....3....0....0....1....2....1....0....4....0....0....2....1
%e ..5....6....6....1....4....3....4....1....5....3....1....4....3....2....3....2
%e ..6....3....4....6....2....6....5....6....1....4....6....5....6....3....5....3
%e ..5....6....6....4....3....2....5....6....4....4....0....6....6....6....4....6
%e ..6....5....4....4....3....6....0....6....5....6....0....5....6....5....5....5
%e ..3....3....1....3....2....5....4....5....6....6....6....2....6....4....1....6
%K nonn
%O 1,1
%A _R. H. Hardin_ Nov 20 2011
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