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A191976 Ordered sums 3f+4g, where f and g are Lucas numbers (A000032 beginning at 1). 4
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..58.

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]]  (*A 191977: 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 *)

CROSSREFS

Cf. A191977, A191978, A191979, A191929.

Sequence in context: A269163 A260482 A328254 * A135054 A076701 A224773

Adjacent sequences:  A191973 A191974 A191975 * A191977 A191978 A191979

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jun 20 2011

STATUS

approved

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Last modified September 21 21:32 EDT 2021. Contains 347605 sequences. (Running on oeis4.)