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A100585
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Write down the numbers from 3 to infinity. Take next number, M say, that has not been crossed off. Counting through the numbers that have not yet been crossed off after that M, cross off every 4-th term. Repeat, always crossing off every 4-th term of those that remain. The numbers that are left form the sequence.
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2
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3, 4, 5, 6, 8, 10, 13, 17, 22, 29, 38, 50, 66, 88, 117, 156, 208, 277, 369, 492, 656, 874, 1165, 1553, 2070, 2760, 3680, 4906, 6541, 8721, 11628, 15504, 20672, 27562, 36749, 48998, 65330, 87106, 116141, 154854, 206472, 275296, 367061, 489414, 652552
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| a(n+1) = a(n) + floor(a(n)/3) - Ben Thurston (benthurston27(AT)yahoo.com), Jan 09 2008
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REFERENCES
| "Sieves", Popular Computing (Calabasas, CA), Vol. 2 (No. 13, Apr 1974), pp. 6-7; sieve #6 (K=4).
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LINKS
| Index entries for sequences generated by sieves
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MATHEMATICA
| t = Range[3, 2500000]; r = {}; While[Length[t] > 0, AppendTo[r, First[t]]; t = Drop[t, {1, -1, 4}]; ]; r (Chandler)
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CROSSREFS
| Cf. A003309, A003310, A100464, A100562, A003312, A003311, A052548, A100586.
Sequence in context: A065875 A197639 A167057 * A023367 A047426 A026487
Adjacent sequences: A100582 A100583 A100584 * A100586 A100587 A100588
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Dec 01 2004
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EXTENSIONS
| More terms from Ray Chandler (rayjchandler(AT)sbcglobal.net), Dec 02 2004
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