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A250348 Number of length n arrays x(i), i=1..n with x(i) in i..i+5 and no value appearing more than 2 times 2

%I #4 Nov 19 2014 13:18:18

%S 6,36,212,1221,6900,38543,214716,1193739,6628042,36773706,203951790,

%T 1130937489,6270501936,34764775155,192735759120,1068507612315,

%U 5923642360728,32839591629254,182056176609954,1009281733768068

%N Number of length n arrays x(i), i=1..n with x(i) in i..i+5 and no value appearing more than 2 times

%C Column 5 of A250351

%H R. H. Hardin, <a href="/A250348/b250348.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -8*a(n-3) -12*a(n-4) -66*a(n-5) -332*a(n-6) +132*a(n-7) +447*a(n-8) +294*a(n-9) +630*a(n-10) +396*a(n-11) -484*a(n-12) -222*a(n-13) +192*a(n-14) -188*a(n-15) -144*a(n-16) +114*a(n-17) +50*a(n-18) -12*a(n-19) +21*a(n-20) +16*a(n-21) -a(n-24)

%e Some solutions for n=6

%e ..5....3....5....3....1....2....0....0....5....4....4....0....0....5....0....0

%e ..6....1....2....5....5....4....5....6....1....2....6....2....4....1....4....6

%e ..2....7....3....2....3....2....4....4....3....4....5....7....3....3....6....6

%e ..7....7....4....6....8....7....4....5....3....5....8....8....4....7....3....7

%e ..9....9....7....7....6....4....9....5....7....7....8....7....7....5....4....9

%e ..9...10....8....5....5....7....5....7...10...10...10....9....9....7....5....7

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 19 2014

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