A112974 Number of superabundant numbers between two consecutive colossally abundant numbers.

1, 0, 3, 0, 2, 4, 0, 4, 6, 0, 2, 3, 6, 8, 6, 0, 10, 10, 5, 2, 11, 9, 10, 0, 9, 10, 12, 4, 13, 14, 15, 11, 6, 14, 0, 12, 2, 12, 11, 5, 10, 11, 12, 12, 12, 11, 11, 13, 13, 0, 15, 14, 3, 14, 16, 16, 8, 16, 17, 17, 19, 20, 16, 14, 7, 16, 2, 16, 14, 15, 3, 15, 15, 14, 18, 0, 16, 16, 16, 16, 16, 14

Offset

1,3

Comments

The colossally abundant numbers are a subset of the superabundant abundant numbers. Is there a formula for a(n) that depends on the two consecutive colossally abundant numbers A004490(n) and A004490(n+1)?

Links

T. D. Noe, Table of n, a(n) for n=1..10000

Example

a(3)=3 because between colossally abundant numbers 12 and 60 there are three superabundant numbers: 24, 36 and 48.

Crossrefs

Cf. A004490 (colossally abundant numbers), A004394 (superabundant numbers), A189228 (superabundant numbers that are not colossally abundant).

Sequence in context: A245251 A177461 A201924 * A113069 A136163 A178313

Adjacent sequences: A112971 A112972 A112973 * A112975 A112976 A112977

Keyword

nonn

Author

T. D. Noe, Oct 07 2005

Status

approved