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Number of nondecreasing -n..n vectors of length 7 whose dot product with some nondecreasing -n..n vector equals 7.
0

%I #5 Dec 29 2023 10:38:18

%S 8,281,1631,6041,18765,47291,113273,235677,465959,853593,1515861

%N Number of nondecreasing -n..n vectors of length 7 whose dot product with some nondecreasing -n..n vector equals 7.

%C Row 7 of A226410.

%e Some solutions for n=3

%e .-3...-2...-3...-3...-3...-3...-1...-2...-3...-2...-3...-3...-3...-3...-3...-3

%e .-1...-1...-1....1...-3...-3....1...-2...-3...-2...-3...-2...-3...-3...-3...-2

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

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

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

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

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

%Y Cf. A226410.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 06 2013