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 A274281 Numbers that are a product of distinct Lucas numbers (2,1,3,4,7,11,...) 4
 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 18, 21, 22, 24, 28, 29, 33, 36, 42, 44, 47, 54, 56, 58, 66, 72, 76, 77, 84, 87, 88, 94, 108, 116, 123, 126, 132, 141, 144, 152, 154, 168, 174, 188, 198, 199, 203, 216, 228, 231, 232, 246, 252, 264, 282, 304, 308, 319, 322 (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 2,1,3,4,7,11,18,29,..., so that the sequence of all products of distinct Lucas numbers, in increasing order, are 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 18, 21, 22, 24, 28, 29,... MATHEMATICA f[1] = 2; f[2] = 1; 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 CROSSREFS Cf. A160009, A274280. Sequence in context: A052499 A104739 A192047 * A050116 A061985 A352804 Adjacent sequences: A274278 A274279 A274280 * A274282 A274283 A274284 KEYWORD nonn,easy AUTHOR Clark Kimberling, Jun 17 2016 STATUS approved

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Last modified July 21 01:14 EDT 2024. Contains 374462 sequences. (Running on oeis4.)