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A211428 Number of ordered triples (w,x,y) with all terms in {-n,...,0,...,n} and 2*w^2+3*x*y=0. 2

%I #4 Apr 15 2012 21:22:21

%S 1,5,9,21,25,29,49,53,65,77,81,85,105,109,113,125,137,141,161,165,169,

%T 181,185,189,225,237,241,269,273,277,305,309,329,341,345,349,377,381,

%U 385,397,409,413,433,437,441,453,457,461,497,517,545,557,561

%N Number of ordered triples (w,x,y) with all terms in {-n,...,0,...,n} and 2*w^2+3*x*y=0.

%C For a guide to related sequences, see A211422.

%t t[n_] := t[n] = Flatten[Table[2 w^2 + 3 x*y, {w, -n, n}, {x, -n, n}, {y, -n, n}]]

%t c[n_] := Count[t[n], 0]

%t t = Table[c[n], {n, 0, 70}] (* A211428 *)

%t (t - 1)/4 (* integers *)

%Y Cf. A211422.

%K nonn

%O 0,2

%A _Clark Kimberling_, Apr 10 2012

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Last modified July 9 09:07 EDT 2024. Contains 374174 sequences. (Running on oeis4.)