cp's OEIS Frontend

A196362 Positive integers a for which there is a (-5/2)-Pythagorean triple (a,b,c) satisfying a<=b.

%I A196362 #8 Mar 30 2012 18:57:49
%S A196362 2,3,4,5,6,6,7,7,8,9,10,10,10,10,11,11,12,12,13,14,14,14,14,15,15,15,
%T A196362 15,16,16,16,16,17,18,18,18,19,19,20,20,20,20,21,21,21,22,22,22,22,23,
%U A196362 23,24,24,25,25,26,26,26,26,27,27,28,28,28,28,29,30,30,30,30,30
%N A196362 Positive integers a for which there is a (-5/2)-Pythagorean triple (a,b,c) satisfying a<=b.
%C A196362 See A195770 for definitions of k-Pythagorean triple, primitive k-Pythagorean triple, and lists of related sequences.
%t A196362 z8 = 900; z9 = 250; z7 = 200;
%t A196362 pIntegerQ := IntegerQ[#1] && #1 > 0 &;
%t A196362 k = -5/2; c[a_, b_] := Sqrt[a^2 + b^2 + k*a*b];
%t A196362 d[a_, b_] := If[pIntegerQ[c[a, b]], {a, b, c[a, b]}, 0]
%t A196362 t[a_] := Table[d[a, b], {b, a, z8}]
%t A196362 u[n_] := Delete[t[n], Position[t[n], 0]]
%t A196362 Table[u[n], {n, 1, 15}]
%t A196362 t = Table[u[n], {n, 1, z8}];
%t A196362 Flatten[Position[t, {}]]
%t A196362 u = Flatten[Delete[t, Position[t, {}]]];
%t A196362 x[n_] := u[[3 n - 2]];
%t A196362 Table[x[n], {n, 1, z7}]  (* A196362 *)
%t A196362 y[n_] := u[[3 n - 1]];
%t A196362 Table[y[n], {n, 1, z7}]  (* A196363 *)
%t A196362 z[n_] := u[[3 n]];
%t A196362 Table[z[n], {n, 1, z7}]  (* A196364 *)
%t A196362 x1[n_] := If[GCD[x[n], y[n], z[n]] == 1, x[n], 0]
%t A196362 y1[n_] := If[GCD[x[n], y[n], z[n]] == 1, y[n], 0]
%t A196362 z1[n_] := If[GCD[x[n], y[n], z[n]] == 1, z[n], 0]
%t A196362 f = Table[x1[n], {n, 1, z9}];
%t A196362 x2 = Delete[f, Position[f, 0]]  (* A196365 *)
%t A196362 g = Table[y1[n], {n, 1, z9}];
%t A196362 y2 = Delete[g, Position[g, 0]]  (* A196366 *)
%t A196362 h = Table[z1[n], {n, 1, z9}];
%t A196362 z2 = Delete[h, Position[h, 0]]  (* A196367 *)
%Y A196362 Cf. A195770, A196363, A196364, A196365.
%K A196362 nonn
%O A196362 1,1
%A A196362 _Clark Kimberling_, Oct 01 2011