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A130826 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. 1
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; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The first six terms in the sequence are those from the T.V. show Lost.

LINKS

Table of n, a(n) for n=1..45.

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.

EXAMPLE

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.

CROSSREFS

Cf. A000960, A056526, A104101.

Cf. A005179. [Alois P. Heinz, Nov 27 2009]

Sequence in context: A272346 A214440 A104101 * A188088 A190703 A267368

Adjacent sequences:  A130823 A130824 A130825 * A130827 A130828 A130829

KEYWORD

dumb,nonn

AUTHOR

Stephen Casey (hexomino(AT)gmail.com), Jul 17 2007

EXTENSIONS

Corrected and extended by Alois P. Heinz, Nov 27 2009

STATUS

approved

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Last modified October 20 03:20 EDT 2017. Contains 293600 sequences.