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

Author

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

Keywords

• dumb
• nonn

Comments

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

Examples

			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.
		

Links

• 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

Crossrefs

Cf. A000960, A056526, A104101, A005179.

Extensions

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