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A250359 Number of length n arrays x(i), i=1..n with x(i) in i..i+6 and no value appearing more than 3 times.

%I A250359 #6 Jul 23 2025 12:20:31
%S A250359 7,49,343,2397,16700,115963,803382,5565230,38548644,266998350,
%T A250359 1849229664,12807494729,88702171850,614332682800,4254735401463,
%U A250359 29467361754942,204084413284570,1413443236278923,9789192962198232,67797768520165387
%N A250359 Number of length n arrays x(i), i=1..n with x(i) in i..i+6 and no value appearing more than 3 times.
%C A250359 Column 6 of A250361
%H A250359 R. H. Hardin, <a href="/A250359/b250359.txt">Table of n, a(n) for n = 1..210</a>
%F A250359 Empirical: a(n) = 7*a(n-1) -8*a(n-4) -40*a(n-5) -265*a(n-6) -1800*a(n-7) +38*a(n-8) +336*a(n-9) +1937*a(n-10) +3833*a(n-11) +6318*a(n-12) +303*a(n-13) -1245*a(n-14) -3056*a(n-15) -1258*a(n-16) +725*a(n-17) +1024*a(n-18) +343*a(n-19) +34*a(n-20) -137*a(n-21) -77*a(n-22) +47*a(n-24) +14*a(n-25)
%e A250359 Some solutions for n=6
%e A250359 ..1....3....5....1....1....1....1....0....4....1....2....4....5....3....2....2
%e A250359 ..1....4....2....2....6....7....3....6....7....7....1....6....6....6....5....1
%e A250359 ..7....8....7....7....4....3....2....6....3....4....8....8....8....7....7....5
%e A250359 ..4....3....4....7....3....5....6....8....8....4....4....7....6....3....4....7
%e A250359 ..7....7....7....6....9....7....7....5...10....4....4....4....7....9....5...10
%e A250359 ..7....9....5....6....6....8....6....7....8....6....7....5....9....6....7....8
%K A250359 nonn
%O A250359 1,1
%A A250359 _R. H. Hardin_, Nov 19 2014