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A211063
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Number of 2 X 2 matrices having all terms in {1,...,n} and determinant >=3n.
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2
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0, 0, 0, 0, 8, 38, 122, 284, 589, 1080, 1848, 2933, 4515, 6577, 9366, 12888, 17444, 22928, 29864, 37986, 48057, 59656, 73413, 89307, 108002, 129068, 153386, 180636, 212111, 246683, 286126, 329135, 378047, 431242, 490425, 555118
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OFFSET
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0,5
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COMMENTS
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For a guide to related sequences, see A210000.
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LINKS
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MATHEMATICA
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a = 1; b = n; z1 = 35;
t[n_] := t[n] = Flatten[Table[w*z - x*y, {w, a, b}, {x, a, b}, {y, a, b}, {z, a, b}]]
c[n_, k_] := c[n, k] = Count[t[n], k]
s[n_, m_] := s[n, m] = Sum[c[n, k], {k, 1, m}]
Table[s[n, n^2]-s[n, 3n-1], {n, 1, z1}] (* A211063 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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