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A274375
Products of 2 distinct Fibonacci numbers and products of two distinct Lucas numbers (including 2), arranged in increasing order.
2
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
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
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Jun 19 2016
STATUS
approved