A268259 - OEIS

%I #4 Jan 29 2016 12:46:28

%S 43,265,1634,10082,62249,384605,2377935,14712729,91096234,564452368,

%T 3500093507,21720172553,134891317195,838393028557,5215069599851,

%U 32465881779821,202280863699652,1261388175969986,7872540872887539

%N Number of length-(n+1) 0..6 arrays with new repeated values introduced in sequential order starting with zero.

%C Column 6 of A268261.

%H R. H. Hardin, <a href="/A268259/b268259.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 43*a(n-1) -777*a(n-2) +7545*a(n-3) -41215*a(n-4) +115171*a(n-5) -81663*a(n-6) -274113*a(n-7) +244616*a(n-8) +557626*a(n-9) +307440*a(n-10) +67488*a(n-11) +5040*a(n-12)

%e Some solutions for n=5

%e ..2....5....1....0....1....0....3....0....5....6....6....5....4....5....3....6

%e ..6....3....5....5....2....0....4....4....1....4....5....0....3....4....0....4

%e ..2....0....3....1....6....1....6....3....0....3....4....3....6....2....5....6

%e ..0....6....6....0....2....0....4....0....4....0....0....5....5....5....1....5

%e ..1....2....4....6....6....1....1....2....0....3....2....0....4....0....3....4

%e ..2....5....6....1....2....3....3....6....1....4....6....5....6....5....2....2

%Y Cf. A268261.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 29 2016