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A192695
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Number of 1X8 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 8-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, 10, 42, 147, 415, 1040, 2336, 4841, 9324, 17035, 29556, 49428, 79553, 124531, 189360, 281680, 409383, 584737, 819889, 1133021, 1541844, 2072913, 2751299, 3615478, 4697427, 6051068, 7720384, 9776322, 12276825, 15316939, 18967552
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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 1X8 <= 2*4^2
.-4.-1..0..0..1..1..1..2...-3.-1.-1.-1..0..0..3..3...-3.-3.-1..0..1..2..2..2
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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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