A122978 Number of sublattices of the division lattice of divisors of n.

1, 3, 3, 7, 3, 12, 3, 15, 7, 12, 3, 37, 3, 12, 12, 31, 3, 37, 3, 37, 12, 12, 3, 103, 7, 12, 15, 37, 3, 73, 3, 63, 12, 12, 12, 146, 3, 12, 12, 103, 3, 73, 3, 37, 37, 12, 3, 271, 7, 37, 12, 37, 3, 103, 12, 103, 12, 12, 3, 319, 3, 12, 37, 127, 12, 73, 3, 37, 12, 73, 3, 505, 3, 12, 37, 37

Offset

1,2

Comments

A division lattice is closed under GCD and LCM. Depends only on the prime signature of n.

Links

Table of n, a(n) for n=1..76.

Crossrefs

Cf. A051839, A122977, A122981, A122982.

Sequence in context: A069949 A143275 A083262 * A119347 A323774 A062402

Adjacent sequences: A122975 A122976 A122977 * A122979 A122980 A122981

Keyword

nonn

Author

Franklin T. Adams-Watters, Sep 21 2006

Status

approved