%I #7 Mar 30 2012 18:57:33
%S 4,6,7,10,12,13,14,15,16,19,20,21,22,23,24,25,27,28,30,32,34,36,37,38,
%T 39,40,41,44,50,51,55,56,57,58,59,61,62,65,68,72,79,80,83,85,88,90,91,
%U 94,97,98,101,105,109,116,126,130,132,134,135,142,144,145
%N Ordered sums f+3g, where f and g are Lucas numbers (A000032 beginning at 1).
%t c = 1; d = 3; f[n_] := LucasL[n];
%t g[n_] := c*f[n]; h[n_] := d*f[n];
%t t[i_, j_] := h[i] + g[j];
%t u = Table[t[i, j], {i, 1, 20}, {j, 1, 20}];
%t v = Union[Flatten[u]] (* A191920 *)
%t t1[i_, j_] := If[g[i] - h[j] > 0, g[i] - h[j], 0]
%t u1 = Table[t1[i, j], {i, 1, 20}, {j, 1, 20}];
%t v1 = Union[Flatten[u1]] (*A 191921: c*f(i)-d*f(j) *)
%t g1[n_] := d*f[n]; h1[n_] := c*f[n];
%t t2[i_, j_] := If[g1[i] - h1[j] > 0, g1[i] - h1[j], 0]
%t u2 = Table[t2[i, j], {i, 1, 20}, {j, 1, 20}];
%t v2 = Union[Flatten[u2]] (* A191922: d*f(i)-c*f(j) *)
%t v3 = Union[v1, v2] (* A191923 *)
%Y Cf. A191921, A191922, A191923, A191842.
%K nonn
%O 1,1
%A _Clark Kimberling_, Jun 19 2011