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Search: id:A003151
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| A003151 |
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Beatty sequence for 1+sqrt(2); a(n) = floor(n*(1+sqrt(2))).
(Formerly M1033)
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+0
11
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| 2, 4, 7, 9, 12, 14, 16, 19, 21, 24, 26, 28, 31, 33, 36, 38, 41, 43, 45, 48, 50, 53, 55, 57, 60, 62, 65, 67, 70, 72, 74, 77, 79, 82, 84, 86, 89, 91, 94, 96, 98, 101, 103, 106, 108, 111, 113, 115, 118, 120, 123, 125, 127, 130, 132, 135, 137, 140, 142, 144
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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a(1)=2; for n>1, a(n+1)=a(n)+3 if n is already in the sequence, a(n+1)=a(n)+2 otherwise.
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REFERENCES
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L. Carlitz, R. Scoville and V. E. Hoggatt, Jr., Pellian representatives, Fib. Quart., 10 (1972), 449-488.
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LINKS
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B. Cloitre, N. J. A. Sloane and M. J. Vandermast, Numerical analogues of Aronson's sequence, J. Integer Seqs., Vol. 6 (2003), #03.2.2.
B. Cloitre, N. J. A. Sloane and M. J. Vandermast, Numerical analogues of Aronson's sequence (math.NT/0305308)
Index entries for sequences related to Beatty sequences
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CROSSREFS
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Complement of A003152.
A001951(n) + n.
Cf. A109250.
Sequence in context: A054406 A081841 A027904 this_sequence A059542 A022840 A064995
Adjacent sequences: A003148 A003149 A003150 this_sequence A003152 A003153 A003154
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KEYWORD
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nonn,easy
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AUTHOR
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njas
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