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A085292
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Product of Lucas (A000204) and a Pell companion series (A001333).
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2
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1, 9, 28, 119, 451, 1782, 6931, 27119, 105868, 413649, 1615681, 6311522, 24654241, 96306849, 376200748, 1469546399, 5740457491, 22423834422, 87593763331, 342165736199, 1336595027068, 5221113899769, 20395130698081, 79669083012482
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| 2*[A085292(n)] = A085293
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FORMULA
| a(n) = [A000204(n)]*[A001333(n)], n>0; where A001333(1) = 1, then 3, 4, 7, 11, 18, 29...(the Lucas series); & A001333(1) = 1, then 3, 7, 17, 41, 99, 239, 577, 1393...(a Pell-type series with a(n+1)/a(n) ==> (1 + sqrt2)).
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EXAMPLE
| a(4) = (L4)*[A001333(4)] = (7)(17) = 119.
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MATHEMATICA
| L[0] = 2; L[1] = 1; L[n] = L[n - 1] + L[n - 2]; P[0] = P[1] = 1; P[n_] := P[n] = 2P[n - 1] + P[n - 2]; Table[ L[n]P[n], {n, 1, 24}]
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CROSSREFS
| Cf. A085293, A000204, A001333, A002203.
Sequence in context: A001158 A171215 A053819 * A198059 A181090 A073706
Adjacent sequences: A085289 A085290 A085291 * A085293 A085294 A085295
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KEYWORD
| nonn
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 24 2003
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EXTENSIONS
| Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 24 2003
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