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

Author

Lekraj Beedassy, Sep 01 2003

Keywords

• nonn
• look

Examples

			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.
		

Links

• T. D. Noe, Table of n, a(n) for n = 0..4000 (using data from Flammenkamp)
• A. Flammenkamp, First 1200 highly composite numbers

Crossrefs

Cf. A002182.

Extensions

Corrected and extended by Graeme McRae, Apr 30 2006