A087081 Sum of the elements in the coprime subsets of the integers 1 to n.

0, 1, 6, 24, 48, 156, 192, 580, 836, 1444, 1660, 4596, 4980, 13184, 14768, 17308, 21756, 55888, 58768, 146416, 157552, 181008, 196304, 481664, 500096, 765648, 825152, 1073920, 1148288, 2745728, 2768768, 6505728, 7453952, 8233792, 8736960, 9984832, 10208064

Offset: 0

Author

Alan Sutcliffe (alansut(AT)ntlworld.com), Aug 12 2003

Keywords

• nonn

Comments

A coprime set of integers has (m,n)=1 for each pair of integers in the set.

Examples

			a(4)=48 since the 12 coprime subsets of (1,2,3,4) are ( ) (1) (2) (3) (4) (1,2) (1,3) (1,4) (2,3) (3,4) (1,2,3) (1,3 4) and the sum of the elements is 48.
		

References

• Alan Sutcliffe, Divisors and Common Factors in Sets of Integers, awaiting publication.

Links

• Fausto A. C. Cariboni, Table of n, a(n) for n = 0..120

Crossrefs

A087078 gives the sum of the elements in the primitive subsets. A084422 gives the number coprime subsets. A087080 gives the number of elements in coprime subsets.

Extensions

Terms a(35) and beyond from Fausto A. C. Cariboni, Oct 20 2020