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%I #8 Apr 06 2018 06:21:20
%S 2,8,37,124,309,637,1163,1953,3085,4650,6753,9514,13069,17571,23191,
%T 30119,38565,48760,60957,75432,92485,112441,135651,162493,193373,
%U 228726,269017,314742,366429,424639,489967,563043,644533,735140,835605,946708
%N Number of nondecreasing arrangements of n+2 numbers in 0..5 with each number being the sum mod 6 of two others.
%C Column 5 of A183912.
%H R. H. Hardin, <a href="/A183908/b183908.txt">Table of n, a(n) for n = 1..132</a>
%F Empirical: a(n) = (1/120)*n^5 + (5/24)*n^4 + (49/24)*n^3 - (29/24)*n^2 - (461/20)*n + 43 for n>2.
%F Conjectures from _Colin Barker_, Apr 06 2018: (Start)
%F G.f.: x*(2 - 4*x + 19*x^2 - 18*x^3 - 10*x^4 + 11*x^5 + 5*x^6 - 4*x^7) / (1 - x)^6.
%F a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6) for n>7.
%F (End)
%e All solutions for n=2:
%e ..0....0....0....2....0....1....1....0
%e ..2....0....0....2....2....2....3....3
%e ..2....3....0....4....4....3....4....3
%e ..4....3....0....4....4....5....5....3
%Y Cf. A183912.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 07 2011
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