A076537 -id:A076537 - cp's OEIS frontend

A166527 Complement of A076537.

1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 15, 16, 17, 18, 19, 20, 21, 22, 24, 26, 28, 29, 30, 32, 33, 35, 36, 37, 39, 43, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 60, 62, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 81, 83, 87, 89, 91, 92, 93, 95, 98, 99, 102, 104, 105

Offset: 1

Paul Curtz, Oct 16 2009

nonn

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

Original entry on oeis.org

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

Paul Curtz, Oct 15 2009

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.

Cf. A129326.

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

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

cp's OEIS Frontend

A166527 Complement of A076537.

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

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