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A211145 Number of 2 X 2 matrices having all terms in {-n,...,0,..,n} and permanent=trace. 3

%I #6 Jan 11 2017 01:31:13

%S 1,19,60,116,196,292,404,548,708,868,1060,1284,1524,1796,2052,2292,

%T 2612,2980,3348,3748,4116,4452,4884,5380,5844,6324,6820,7300,7860,

%U 8468,9060,9732,10388,10964,11572,12180,12852,13668,14436,15092

%N Number of 2 X 2 matrices having all terms in {-n,...,0,..,n} and permanent=trace.

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

%t a = -n; b = n; z1 = 40;

%t t[n_] := t[n] = Flatten[Table[w + z - 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 Table[c[n, 0], {n, 0, z1}] (* A211145 *)

%t (1/4) Table[c[n, n], {n, 2, z1}] (* integers *)

%Y Cf. A210000.

%K nonn

%O 0,2

%A _Clark Kimberling_, Apr 03 2012

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Last modified September 12 22:42 EDT 2024. Contains 375855 sequences. (Running on oeis4.)