A113069 Number of highly composite numbers between two consecutive superior highly composite numbers.

1, 0, 3, 0, 2, 4, 0, 8, 9, 1, 3, 6, 11, 12, 1, 13, 7, 14, 3, 14, 2, 15, 16, 15, 17, 7, 18, 19, 4, 12, 22, 3, 22, 24, 23, 25, 14, 25, 25, 3, 26, 26, 30, 30, 11, 32, 33, 19, 34, 33, 34, 35, 6, 10, 35, 35, 23, 4, 35, 35, 36, 37, 38, 36, 35

Offset

1,3

Comments

The SHC numbers are a subset of the HC numbers. Is there a formula for a(n) that depends on the two consecutive SHC numbers A002201(n) and A002201(n+1)?

Links

Amiram Eldar, Table of n, a(n) for n = 1..4252 (Calculated from Achim Flammenkamp's List of the first 779,674 highly composite numbers)

Achim Flammenkamp, Highly Composite Numbers.

Example

Example: a(3)=3 because between the SHC numbers 12 and 60 there are three HC numbers: 24, 36 and 48.

Crossrefs

Cf. A002182 (highly composite numbers), A002201 (superior highly composite numbers).

Sequence in context: A177461 A201924 A112974 * A136163 A178313 A190013

Adjacent sequences: A113066 A113067 A113068 * A113070 A113071 A113072

Keyword

nonn

Author

T. D. Noe, Oct 13 2005

Status

approved