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A003152
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A Beatty sequence: a(n) = floor(n*(1+1/sqrt(2))).
(Formerly M2392)
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26
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1, 3, 5, 6, 8, 10, 11, 13, 15, 17, 18, 20, 22, 23, 25, 27, 29, 30, 32, 34, 35, 37, 39, 40, 42, 44, 46, 47, 49, 51, 52, 54, 56, 58, 59, 61, 63, 64, 66, 68, 69, 71, 73, 75, 76, 78, 80, 81, 83, 85, 87, 88, 90, 92, 93, 95, 97, 99, 100, 102, 104, 105, 107, 109, 110, 112, 114, 116
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OFFSET
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1,2
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COMMENTS
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Numbers with an even number of trailing 0's in their minimal representation in terms of the positive Pell numbers (A317204). - Amiram Eldar, Mar 16 2022
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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L. Carlitz, R. Scoville, and V. E. Hoggatt, Jr. Pellian representations, Fibonacci Quarterly, Vol. 10, No. 5 (1972), pp. 449-488.
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MAPLE
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Digits := 100: t := evalf(1+sin(Pi/4)): A:= n->floor(t*n): seq(floor((t*n)), n=1..68); # Zerinvary Lajos, Mar 27 2009
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MATHEMATICA
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PROG
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CROSSREFS
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The following sequences are all essentially the same, in the sense that they are simple transformations of each other, with A003151 as the parent: A003151, A001951, A001952, A003152, A006337, A080763, A082844 (conjectured), A097509, A159684, A188037, A245219 (conjectured), A276862. - N. J. A. Sloane, Mar 09 2021
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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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