A077566 Smallest number which can be factored into parts with distinct prime signatures in n different ways, or 0 if no such number exists.

1, 8, 12, 24, 60, 48, 72, 512, 96, 1024, 120, 144, 0, 0, 420, 2310, 240, 8192, 432, 0, 0, 768, 360, 0, 576, 480, 32768, 0, 0, 1536, 0, 864, 0, 0, 720, 1152, 0, 3072, 1080, 960, 0, 0, 1800, 0, 0, 262144, 0, 1728, 0, 6144, 2304, 1680, 0, 524288, 0, 0, 1920, 0, 4620, 0

Offset

1,2

References

Amarnath Murthy, Generalization of partition function .Introducing Smarandache Factor Partition. Smarandache Notions Journal, Vol. 11, 1-2-3,2000.

Links

Table of n, a(n) for n=1..60.

Formula

Index of the first occurrence of n in A077565.

Crossrefs

Cf. A077563, A077564, A077565.

Sequence in context: A054735 A162691 A328538 * A241482 A368124 A349757

Adjacent sequences: A077563 A077564 A077565 * A077567 A077568 A077569

Keyword

nonn

Author

Amarnath Murthy, Nov 11 2002

Extensions

Corrected and extended by Ray Chandler, Sep 07 2003

Status

approved