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A211063 Number of 2 X 2 matrices having all terms in {1,...,n} and determinant >=3n. 2

%I #9 Jan 10 2017 23:02:44

%S 0,0,0,0,8,38,122,284,589,1080,1848,2933,4515,6577,9366,12888,17444,

%T 22928,29864,37986,48057,59656,73413,89307,108002,129068,153386,

%U 180636,212111,246683,286126,329135,378047,431242,490425,555118

%N Number of 2 X 2 matrices having all terms in {1,...,n} and determinant >=3n.

%C For a guide to related sequences, see A210000.

%H Chai Wah Wu, <a href="/A211063/b211063.txt">Table of n, a(n) for n = 0..2000</a>

%t a = 1; b = n; z1 = 35;

%t t[n_] := t[n] = Flatten[Table[w*z - x*y, {w, a, b}, {x, a, b}, {y, a, b}, {z, a, b}]]

%t c[n_, k_] := c[n, k] = Count[t[n], k]

%t s[n_, m_] := s[n, m] = Sum[c[n, k], {k, 1, m}]

%t Table[s[n,n^2]-s[n,3n-1],{n,1,z1}] (* A211063 *)

%Y Cf. A210000.

%K nonn

%O 0,5

%A _Clark Kimberling_, Mar 31 2012

%E Offset corrected by _Chai Wah Wu_, Jan 10 2017

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Last modified April 25 09:31 EDT 2024. Contains 371967 sequences. (Running on oeis4.)