cp's OEIS Frontend

A242321 Number of length n+6+2 0..6 arrays with every value 0..6 appearing at least once in every consecutive 6+3 elements, and new values 0..6 introduced in order.

%I A242321 #6 Jul 23 2025 11:16:17
%S A242321 462,1638,5334,16194,47466,137166,395166,1141290,3312546,9669270,
%T A242321 28147842,81849030,237928206,691657866,2010909066,5847101166,
%U A242321 17002342422,49439204898,143753422386,417985825410,1215362762970,3533881164654
%N A242321 Number of length n+6+2 0..6 arrays with every value 0..6 appearing at least once in every consecutive 6+3 elements, and new values 0..6 introduced in order.
%C A242321 Column 6 of A242322
%H A242321 R. H. Hardin, <a href="/A242321/b242321.txt">Table of n, a(n) for n = 1..63</a>
%F A242321 Empirical: a(n) = a(n-1) +2*a(n-2) +4*a(n-3) +8*a(n-4) +14*a(n-5) +26*a(n-6) +44*a(n-7) +56*a(n-8) -11*a(n-9) -19*a(n-10) -28*a(n-11) -28*a(n-12) -8*a(n-14) -20*a(n-15) -20*a(n-16) +5*a(n-18) +11*a(n-19) +10*a(n-20) +2*a(n-23) +2*a(n-24) -a(n-27) -a(n-28)
%e A242321 Some solutions for n=5
%e A242321 ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e A242321 ..1....1....0....1....1....0....1....1....1....1....0....0....1....1....1....1
%e A242321 ..0....2....1....2....2....1....2....0....2....2....0....1....2....2....2....0
%e A242321 ..2....3....2....3....0....2....0....2....3....3....1....2....0....3....3....2
%e A242321 ..3....4....3....0....3....3....3....2....4....4....2....3....3....2....4....3
%e A242321 ..4....3....4....4....4....1....2....3....5....0....3....4....4....4....5....4
%e A242321 ..1....5....2....2....5....4....4....4....6....1....4....2....5....5....6....2
%e A242321 ..5....1....5....5....6....5....5....5....0....5....5....5....1....6....2....5
%e A242321 ..6....6....6....6....0....6....6....6....1....6....6....6....6....1....1....6
%e A242321 ..0....0....0....3....1....0....2....4....2....2....1....1....2....0....0....3
%e A242321 ..2....2....5....1....2....2....1....1....5....3....0....0....5....3....3....1
%e A242321 ..3....4....1....1....2....1....1....0....3....5....6....5....5....6....3....0
%e A242321 ..5....4....0....1....4....2....0....0....5....2....4....0....0....5....3....1
%K A242321 nonn
%O A242321 1,1
%A A242321 _R. H. Hardin_, May 10 2014