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A191929 Ordered sums f+4g, where f and g are Lucas numbers (A000032 beginning at 1). 5
5, 7, 8, 11, 13, 15, 16, 17, 19, 20, 22, 23, 27, 29, 30, 31, 32, 33, 34, 35, 39, 41, 45, 46, 47, 48, 51, 55, 57, 59, 62, 63, 73, 75, 76, 79, 80, 83, 88, 90, 91, 92, 101, 104, 117, 119, 120, 123, 127, 134, 135, 139, 145, 148, 151, 163, 167, 189, 191, 192, 195 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..61.

MATHEMATICA

c = 1; 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]]    (* A191929 *)

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]]  (* A191930: 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]]  (* A191931: d*f(i)-c*f(j) *)

v3 = Union[v1, v2]       (* A191932 *)

CROSSREFS

Cf. A000032, A191932, A191931, A191932, A191850.

Sequence in context: A088299 A287068 A013635 * A082728 A285081 A154370

Adjacent sequences:  A191926 A191927 A191928 * A191930 A191931 A191932

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jun 19 2011

STATUS

approved

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Last modified July 23 22:20 EDT 2021. Contains 346265 sequences. (Running on oeis4.)