A086334 Number of highly composite numbers having n distinct prime factors.

1, 2, 5, 6, 12, 11, 16, 14, 19, 21, 15, 23, 18, 17, 22, 20, 30, 23, 31, 25, 28, 33, 27, 28, 36, 27, 33, 35, 33, 36, 46, 37, 47, 36, 38, 36, 48, 43, 37, 43, 39, 40, 45, 36, 37, 36, 47, 46, 43, 43, 48, 43, 44, 47, 58, 52, 50, 51, 57, 50, 51, 56, 66, 67, 66, 67, 94, 76, 98, 74, 70, 71, 71

Offset

0,2

Links

T. D. Noe, Table of n, a(n) for n = 0..4000 (using data from Flammenkamp)

A. Flammenkamp, First 1200 highly composite numbers

Example

a(0) = 1 because there is 1 highly composite number that has no prime factors; a(9) = 21 because there are 21 highly composite numbers that have 9 distinct prime factors.

Crossrefs

Cf. A002182.

Sequence in context: A190120 A069789 A332683 * A346759 A198331 A057518

Adjacent sequences: A086331 A086332 A086333 * A086335 A086336 A086337

Keyword

nonn,look

Author

Lekraj Beedassy, Sep 01 2003

Extensions

Corrected and extended by Graeme McRae, Apr 30 2006

Status

approved