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Number of nondecreasing -3..3 vectors of length n whose dot product with some lexicographically greater or equal nondecreasing -3..3 vector equals n
1

%I #4 Jun 06 2013 07:17:06

%S 2,17,61,159,365,847,1488,2751,4739,7551,11714,18109,26101,37645,

%T 53282,73032,98844,133192,174317,227188,293529,372908,470112,590497,

%U 730305,899614,1102423,1337131,1613462,1941278,2313556,2748251,3253127,3824256

%N Number of nondecreasing -3..3 vectors of length n whose dot product with some lexicographically greater or equal nondecreasing -3..3 vector equals n

%C Column 3 of A226422

%H R. H. Hardin, <a href="/A226417/b226417.txt">Table of n, a(n) for n = 1..56</a>

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jun 06 2013