A191976 Ordered sums 3*f+4*g, where f and g are Lucas numbers (A000032 beginning at 1).
7, 13, 15, 16, 19, 21, 24, 25, 28, 31, 33, 37, 40, 45, 47, 49, 53, 56, 58, 61, 65, 66, 70, 75, 77, 81, 82, 84, 91, 93, 98, 99, 103, 105, 115, 119, 125, 126, 128, 131, 137, 145, 149, 153, 157, 159, 169, 170, 185, 191, 197, 200, 203, 209, 213, 221, 232, 240
Offset: 1
Keywords
Programs
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Mathematica
c = 3; d = 4; f[n_] := LucasL[n]; g[n_] := c*f[n]; h[n_] := d*f[n]; t[i_, j_] := h[i] + g[j]; u = Table[t[i, j], {i, 1, 20}, {j, 1, 20}]; v = Union[Flatten[u]] (* A191976 *) t1[i_, j_] := If[g[i] - h[j] > 0, g[i] - h[j], 0] u1 = Table[t1[i, j], {i, 1, 20}, {j, 1, 20}]; v1 = Union[Flatten[u1]] (* A191977: c*f(i)-d*f(j) *) g1[n_] := d*f[n]; h1[n_] := c*f[n]; t2[i_, j_] := If[g1[i] - h1[j] > 0, g1[i] - h1[j], 0] u2 = Table[t2[i, j], {i, 1, 20}, {j, 1, 20}]; v2 = Union[Flatten[u2]] (* A191978: d*f(i)-c*f(j) *) v3 = Union[v1, v2] (* A191979 *)