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%I #5 Mar 30 2012 18:57:33
%S 7,13,15,16,19,21,24,25,28,31,33,37,40,45,47,49,53,56,58,61,65,66,70,
%T 75,77,81,82,84,91,93,98,99,103,105,115,119,125,126,128,131,137,145,
%U 149,153,157,159,169,170,185,191,197,200,203,209,213,221,232,240
%N Ordered sums 3f+4g, where f and g are Lucas numbers (A000032 beginning at 1).
%t c = 3; d = 4; 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]] (* A191976 *)
%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 191977: 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]] (* A191978: d*f(i)-c*f(j) *)
%t v3 = Union[v1, v2] (* A191979 *)
%Y Cf. A191977, A191978, A191979, A191929.
%K nonn
%O 1,1
%A _Clark Kimberling_, Jun 20 2011
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