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.

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

Offset

1,1

Comments

The first six terms in the sequence are those from the TV show Lost, see A104101.

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.

Index entries for sequences related to the Josephus Problem

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, A005179.

Sequence in context: A354846 A214440 A104101 * A312708 A329132 A312709

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