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

%I #3 Jun 06 2013 07:24:05

%S 8,254,1488,5573,17441,44256,108478,224471,443879,815019,1452101,

%T 2431380

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

%C Row 7 of A226422

%e Some solutions for n=3

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jun 06 2013