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A166492 Table of numerators of A120070(n,m)/A002260(n,m), 1 <= m < n. 2

%I #7 May 07 2019 23:50:04

%S 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,

%T 39,14,15,80,77,24,65,56,15,32,17,99,48,91,21,15,32,51,9,19,120,117,

%U 112,105,96,85,72,57,40,21,143,70,45,32,119,18,95,10,7,22,23,168,165,160,153,144

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

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

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

%C 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.

%p A120070 := proc(n,m) (n+m)*(n-m) ; end:

%p A002260 := proc(n,m) m ; end:

%p 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

%Y Cf. A129326.

%K nonn,frac,tabl

%O 2,1

%A _Paul Curtz_, Oct 15 2009

%E Edited and extended by _R. J. Mathar_, Oct 21 2009

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Last modified September 7 04:49 EDT 2024. Contains 375729 sequences. (Running on oeis4.)