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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

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Last modified September 22 06:16 EDT 2014. Contains 247039 sequences.