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Search: id:A130826
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| A130826 |
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a(n) is the smallest number such that twice the number of divisors of (a(n)-n)/3 gives the n-th term in the first differences of the sequence produced by the Flavius-Josephus sieve, A000960. |
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+0
1
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| 4, 8, 15, 16, 23, 42, 55, 200, 81, 46, 119, 192, 205, 196622, 12303, 88, 449, 558, 127, 1748, 786453, 58, 2183, 3096, 1105, 786458, 12582939, 568, 2189, 2730, 9247, 572, 8673, 3106, 2195, 8676, 145, 110630, 3819, 2200, 786473, 20202, 79, 7604, 7077933
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The first six terms in the sequence are those from the T.V. show Lost.
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REFERENCES
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M. E. Andersson, Das Flaviussche Sieb, Acta Arith., 85 (1998), 301-307.
V. Gardiner, R. Lazarus, N. Metropolis and S. Ulam, On certain sequences of integers defined by sieves, Math. Mag., 29 (1955), 117-119.
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EXAMPLE
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a(8)=200 because the 8th term in A056526 is 14. Half of that is 7. The smallest number with seven divisors is 64 and 64*3 + 8 = 200.
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CROSSREFS
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Cf. A000960, A056526, A104101.
Sequence in context: A124743 A112312 A076343 this_sequence A104101 A136403 A071422
Adjacent sequences: A130823 A130824 A130825 this_sequence A130827 A130828 A130829
Cf. A005179. [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Nov 27 2009]
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KEYWORD
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dumb,nonn,new
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AUTHOR
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Stephen Casey (hexomino(AT)gmail.com), Jul 17 2007
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EXTENSIONS
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Corrected and extended by Alois P. Heinz (heinz(AT)hs-heilbronn.de), Nov 27 2009
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