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A268258 Number of length-(n+1) 0..5 arrays with new repeated values introduced in sequential order starting with zero. 1

%I #4 Jan 29 2016 12:45:42

%S 31,161,837,4357,22710,118530,619490,3242265,16993552,89197862,

%T 468891563,2468601733,13016765331,68745010766,363645146551,

%U 1926748983131,10225750976768,54362543336048,289501143028324,1544393456553619

%N Number of length-(n+1) 0..5 arrays with new repeated values introduced in sequential order starting with zero.

%C Column 5 of A268261.

%H R. H. Hardin, <a href="/A268258/b268258.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 31*a(n-1) -390*a(n-2) +2490*a(n-3) -7960*a(n-4) +8610*a(n-5) +11775*a(n-6) -18175*a(n-7) -22024*a(n-8) -7236*a(n-9) -720*a(n-10)

%e Some solutions for n=6

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

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

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

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

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

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

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

%Y Cf. A268261.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 29 2016

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)