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

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

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 A278064 A071523

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 | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified December 9 02:36 EST 2016. Contains 278959 sequences.