A166492 Table of numerators of A120070(n,m)/A002260(n,m), 1 <= m < n.

3, 8, 5, 15, 6, 7, 24, 21, 16, 9, 35, 16, 9, 5, 11, 48, 45, 40, 33, 24, 13, 63, 30, 55, 12, 39, 14, 15, 80, 77, 24, 65, 56, 15, 32, 17, 99, 48, 91, 21, 15, 32, 51, 9, 19, 120, 117, 112, 105, 96, 85, 72, 57, 40, 21, 143, 70, 45, 32, 119, 18, 95, 10, 7, 22, 23, 168, 165, 160, 153, 144

Offset: 2

Author

Paul Curtz, Oct 15 2009

Keywords

• nonn
• frac
• tabl

Comments

Numerators of the fractions (n+m)*(n-m)/m.

The numerical values are between A120070(n,m) and A120072(n,m), see A164561.

If we "flatten" the table (enumerate the sequence starting at 1 instead of using the double index), the positions where a common factor is removed from the numerator A120070 and denominator A002260 are at 5, 12, 13, etc., as given by A076537.

Crossrefs

Cf. A129326.

Programs

Maple

A120070 := proc(n,m) (n+m)*(n-m) ; end:
A002260 := proc(n,m) m ; end:
A166492 := proc(n,m) A120070(n,m)/A002260(n+1,m) ; numer(%) ; end: seq(seq(A166492(n,m),m=1..n-1),n=2..17) ; # R. J. Mathar, Oct 21 2009

Extensions

Edited and extended by R. J. Mathar, Oct 21 2009