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A192691
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Number of 1X4 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2*n^2 (number of collections of 1 zero-sum 4-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations)
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1
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2, 6, 15, 26, 45, 72, 105, 150, 206, 273, 353, 446, 560, 687, 834, 998, 1182, 1388, 1618, 1875, 2156, 2463, 2797, 3151, 3551, 3978, 4434, 4923, 5448, 6009, 6604, 7243, 7925, 8639, 9404, 10198, 11051, 11943, 12887, 13873, 14909, 16001, 17135, 18332, 19584
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OFFSET
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1,1
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COMMENTS
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LINKS
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EXAMPLE
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Some solutions for 1X4 <= 2*4^2
.-1..0..0..1...-2..0..0..2...-1.-1.-1..3...-2..0..1..1...-3.-1..0..4
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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