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

Offset: 1

Author

Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jul 10 2003

Keywords

• nonn

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.

Extensions

More terms from Ray Chandler, Sep 15 2003