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Number of nondecreasing -5..5 vectors of length n whose dot product with some other -5..5 vector equals n.
1

%I #6 Sep 04 2022 20:36:37

%S 2,50,242,972,2857,7951,19046,43667,91607,184623,351192,646548,

%T 1141473,1960891,3264879,5311415,8429947,13122714,20020724,30044769,

%U 44339233,64511381,92542864,131127774,183555267,254185657,348298202,472732818

%N Number of nondecreasing -5..5 vectors of length n whose dot product with some other -5..5 vector equals n.

%C Column 5 of A226340.

%H R. H. Hardin, <a href="/A226337/b226337.txt">Table of n, a(n) for n = 1..30</a>

%e Some solutions for n=3

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

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

%e .-1....5....4....1....3....5....4....5...-3....4....5....3....5....3....5....4

%Y Cf. A226340.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 04 2013