A085914 - OEIS

A085914

Group the natural numbers so that the product of the terms of the n-th group is divisible by n!: (1),(2),(3,4),(5,6,7,8),(9,10,11,12),(13,14,15,16,17,18),(19,20,21,22,23,24),... Sequence contains the number of terms in each group.

1, 1, 2, 4, 4, 6, 6, 8, 8, 10, 10, 12, 12, 14, 14, 16, 16, 18, 18, 20, 20, 22, 22, 24, 24, 26, 26, 28, 28, 30, 30, 32, 32, 34, 34, 36, 36, 38, 38, 40, 40, 42, 42, 44, 44, 46, 46, 48, 48, 50, 50, 52, 52, 54, 54, 56, 56, 58, 58, 58, 58, 62, 63, 63, 62, 66, 64, 68, 68, 68, 70, 66

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OFFSET

1,3

COMMENTS

a(n) <= n.

This sequence may be related to the smoothing sequence suggested in A138023. - Enoch Haga, Feb 28 2008

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..1000

CROSSREFS

Cf. A085912, A085913, A085915.

Cf. A138023.

Sequence in context: A111650 A156686 A210466 * A211390 A363030 A014684