login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A106614 Numerator of n/(n+13). 4
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 1, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 2, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 3, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 4, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 5, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

In general, the numerators of n/(n+p) for prime p and n>=0, form a sequence with the g.f.: x/(1-x)^2 - (p-1)*x^p/(1-x^p)^2. - Paul D. Hanna, Jul 27 2005

LINKS

Table of n, a(n) for n=0..75.

FORMULA

G.f.: x/(1-x)^2 - 12*x^13/(1-x^13)^2. - Paul D. Hanna, Jul 27 2005

Dirichlet g.f. zeta(s-1)*(1-12/13^s). - R. J. Mathar, Apr 18 2011

MATHEMATICA

f[n_]:=Numerator[n/(n+13)]; Array[f, 100, 0] (* Vladimir Joseph Stephan Orlovsky, Feb 17 2011*)

PROG

(Sage) [lcm(n, 13)/13for n in xrange(0, 76)] # [From Zerinvary Lajos, Jun 09 2009]

(MAGMA) [Numerator(n/(n+13)): n in [0..100]]; // Vincenzo Librandi, Apr 18 2011

CROSSREFS

Sequence in context: A053833 A167973 A087999 * A043272 A071523 A070696

Adjacent sequences:  A106611 A106612 A106613 * A106615 A106616 A106617

KEYWORD

nonn,frac,mult

AUTHOR

N. J. A. Sloane, May 15 2005

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified November 21 21:29 EST 2014. Contains 249791 sequences.