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 A274280 Numbers that are a product of distinct Lucas numbers (1,3,4,7,11,...) 11
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS See the Comment on distinct-product sequences in A160009. LINKS Clark Kimberling, Table of n, a(n) for n = 1..1000 EXAMPLE 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,... MATHEMATICA 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 *) CROSSREFS Cf. A000204, A160009, A274281 (includes 2). Sequence in context: A047543 A030489 A132841 * A316265 A205477 A023665 Adjacent sequences: A274277 A274278 A274279 * A274281 A274282 A274283 KEYWORD nonn,easy AUTHOR Clark Kimberling, Jun 17 2016 STATUS approved

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Last modified August 14 10:40 EDT 2024. Contains 375159 sequences. (Running on oeis4.)