A274375 Products of 2 distinct Fibonacci numbers and products of two distinct Lucas numbers (including 2), arranged in increasing order.

0, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 18, 21, 22, 24, 26, 28, 29, 33, 34, 36, 39, 40, 42, 44, 47, 54, 55, 58, 63, 65, 68, 72, 76, 77, 87, 89, 94, 102, 104, 105, 110, 116, 123, 126, 141, 144, 152, 165, 168, 170, 178, 188, 198, 199, 203, 228, 233

Offset

1,2

Comments

Are 2,3,6,8,21 the only numbers that are a product of two distinct Fibonacci numbers and also a product of two distinct Lucas numbers (including 2)?

Links

G. C. Greubel, Table of n, a(n) for n = 1..5000

Mathematica

z = 400; f[n_] := Fibonacci[n];
s = Join[{0}, Take[Sort[Flatten[Table[f[m] f[n], {n, 2, z}, {m, 2, n - 1}]]], z]]
g[n_] := LucasL[n - 1]; t = Take[Sort[Flatten[Table[g[u] g[v], {u, 1, z}, {v, 1, u - 1}]]], z]
Union[s, t]

Crossrefs

Cf. A049862, A274349, A274374.

Sequence in context: A047594 A004774 A191845 * A364542 A343107 A004745

Adjacent sequences: A274372 A274373 A274374 * A274376 A274377 A274378

Keyword

nonn,easy

Author

Clark Kimberling, Jun 19 2016

Status

approved