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

Author

Henry Bottomley, Mar 31 2000

Keywords

• nonn

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.

Examples

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

Crossrefs

Cf. A002182.

Formula

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

Extensions

More terms from Jud McCranie, Jun 09 2005