A053878 Difference between numerator and denominator of lowest terms fraction from division of a highly composite number (1) by its predecessor.

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 13, 2, 5, 11, 13, 2, 1, 5, 2, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1

Offset

2,25

Comments

Successive fractions are 2/1, 2/1, 3/2, 2/1, 2/1, 3/2, 4/3, 5/4, 2/1, 3/2, 4/3, 3/2, 2/1.

This sequence is not multiplicative.

Links

Table of n, a(n) for n=2..104.

Formula

a(n) = A054483(n)-A054482(n) =(A002182(n)-A002182(n-1))/A054481(n).

Example

a(7)=1 since A002182(7)=36, A002182(6)=24, 36/24=3/2 in lowest terms and 3-2=1.

Crossrefs

Cf. A002182.

Sequence in context: A370363 A249776 A348970 * A070672 A319101 A354487

Adjacent sequences: A053875 A053876 A053877 * A053879 A053880 A053881

Keyword

nonn

Author

Henry Bottomley, Mar 31 2000

Extensions

More terms from Jud McCranie, Jun 09 2005

Status

approved