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A250358 Number of length n arrays x(i), i=1..n with x(i) in i..i+5 and no value appearing more than 3 times.

%I A250358 #6 Jul 23 2025 12:20:24
%S A250358 6,36,216,1293,7712,45866,272760,1621963,9644496,57346376,340979312,
%T A250358 2027446948,12055094608,71678940042,426199029864,2534155836542,
%U A250358 15067950109140,89593195408640,532716168060704,3167500770096043
%N A250358 Number of length n arrays x(i), i=1..n with x(i) in i..i+5 and no value appearing more than 3 times.
%C A250358 Column 5 of A250361
%H A250358 R. H. Hardin, <a href="/A250358/b250358.txt">Table of n, a(n) for n = 1..210</a>
%F A250358 Empirical: a(n) = 6*a(n-1) -4*a(n-4) -22*a(n-5) -130*a(n-6) +7*a(n-8) +50*a(n-9) +66*a(n-10) +a(n-12) -6*a(n-13)
%e A250358 Some solutions for n=6
%e A250358 ..4....5....2....0....1....1....3....0....1....4....2....0....2....3....1....3
%e A250358 ..1....2....6....1....6....5....2....2....6....4....2....1....4....1....2....1
%e A250358 ..7....6....5....7....6....6....4....7....4....7....2....7....3....7....3....2
%e A250358 ..6....6....4....8....6....8....8....4....6....6....8....7....3....4....7....6
%e A250358 ..4....6....5....4....9....7....8....8....4....5....9....9....6....4....6....7
%e A250358 .10....8....9....6....5....6....8....6...10....7....8....5....9....8....7....7
%K A250358 nonn
%O A250358 1,1
%A A250358 _R. H. Hardin_, Nov 19 2014