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A274280
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Numbers that are a product of distinct Lucas numbers (1,3,4,7,11,...)
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11
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1, 3, 4, 7, 11, 12, 18, 21, 28, 29, 33, 44, 47, 54, 72, 76, 77, 84, 87, 116, 123, 126, 132, 141, 188, 198, 199, 203, 216, 228, 231, 304, 308, 319, 322, 329, 348, 369, 378, 492, 504, 517, 521, 522, 532, 564, 594, 597, 609, 792, 796, 812, 836, 843, 846, 861
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OFFSET
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1,2
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COMMENTS
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See the Comment on distinct-product sequences in A160009.
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LINKS
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EXAMPLE
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The Lucas numbers are 1,3,4,7,11,18,29,..., so that the sequence of all products of distinct Lucas numbers, in increasing order, are 1, 3, 4, 7, 11, 12, 18, 21, 28, 29,...
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MATHEMATICA
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f[1] = 1; f[2] = 3; z = 32; f[n_] := f[n - 1] + f[n - 2]; f = Table[f[n], {n, 1, z}]; f
s = {1}; Do[s = Union[s, Select[s*f[[i]], # <= f[[z]] &]], {i, z}]; s
Take[Times@@@Subsets[LucasL[Range[20]]]//Union, 60] (* Harvey P. Dale, Sep 26 2019 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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