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A106619
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Numerator of n/(n+18).
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3
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0, 1, 1, 1, 2, 5, 1, 7, 4, 1, 5, 11, 2, 13, 7, 5, 8, 17, 1, 19, 10, 7, 11, 23, 4, 25, 13, 3, 14, 29, 5, 31, 16, 11, 17, 35, 2, 37, 19, 13, 20, 41, 7, 43, 22, 5, 23, 47, 8, 49, 25, 17, 26, 53, 3, 55, 28, 19, 29, 59, 10, 61, 31, 7, 32, 65, 11, 67, 34, 23, 35, 71, 4, 73, 37, 25, 38, 77, 13, 79
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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FORMULA
| a(n)=2*a(n-18)-a(n-36). Paul Curtz, Feb 27 2011
Nonasection: a(9*n)=A026741(n). - Paul Curtz , Mar 21 2011
Dirichlet g.f. zeta(s-1)*(1-2/3^s-2/9^s-1/2^s+2/6^s+2/18^s). - R. J. Mathar, Apr 18 2011
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MATHEMATICA
| f[n_]:=Numerator[n/(n+18)]; Array[f, 100, 0] (*From Vladimir Joseph Stephan Orlovsky, Feb 17 2011*)
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PROG
| (Other) sage: [lcm(n, 18)/18for n in xrange(0, 80)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 12 2009]
(MAGMA) [Numerator(n/(n+18)): n in [0..100]]; // Vincenzo Librandi, Apr 18 2011
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CROSSREFS
| Sequence in context: A174232 A065224 A165278 * A173630 A060789 A134570
Adjacent sequences: A106616 A106617 A106618 * A106620 A106621 A106622
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KEYWORD
| nonn,frac,mult
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), May 15 2005
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