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A211557 Number of nonnegative integer arrays of length n+3 with new values 0 upwards introduced in order, and containing the value 3 1

%I #4 Apr 15 2012 17:58:42

%S 1,11,81,512,3046,17866,106133,649045,4125023,27378716,190102160,

%T 1380567060,10472967693,82843346443,682012236077,5832548494812,

%U 51723577104638,474868072764550,4506710508270721,44151990164554541

%N Number of nonnegative integer arrays of length n+3 with new values 0 upwards introduced in order, and containing the value 3

%C Column 4 of A211561

%H R. H. Hardin, <a href="/A211557/b211557.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = sum{j in 4..n+3}stirling2(n+3,j)

%e Some solutions for n=5

%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0

%e ..1....1....0....1....1....0....1....1....1....0....1....1....1....1....1....1

%e ..0....0....0....2....2....1....2....2....1....1....2....2....1....2....2....0

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Apr 15 2012

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Last modified June 20 15:48 EDT 2024. Contains 373526 sequences. (Running on oeis4.)