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A106617
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Numerator of n/(n+16).
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2
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0, 1, 1, 3, 1, 5, 3, 7, 1, 9, 5, 11, 3, 13, 7, 15, 1, 17, 9, 19, 5, 21, 11, 23, 3, 25, 13, 27, 7, 29, 15, 31, 2, 33, 17, 35, 9, 37, 19, 39, 5, 41, 21, 43, 11, 45, 23, 47, 3, 49, 25, 51, 13, 53, 27, 55, 7, 57, 29, 59, 15, 61, 31, 63, 4, 65, 33, 67, 17, 69, 35, 71, 9, 73, 37, 75, 19, 77, 39, 79
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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LINKS
| Nathaniel Johnston, Table of n, a(n) for n = 0..10000
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FORMULA
| a(n) = 2*a(n-16) - a(n-32), n>31. - Paul Curtz, Apr 12 2011
Octosections: a(8*n)= A026741(n). a(2+8*n)= 1+4*n. a(4+8*n)= 1+2*n. a(6+8*n)= 3+4*n. Bisection: a(1+2*n)= 1+2*n. - Paul Curtz, Apr 12 2011
Dirichlet g.f. zeta(s-1)*(1-1/2^s-1/4^s-1/8^s-1/16^s). - R. J. Mathar, Apr 18 2011
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MAPLE
| seq(numer(n/(n+16)), n=0..100); # Nathaniel Johnston, Apr 18 2011
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MATHEMATICA
| Numerator/@Table[n/(n+16), {n, 0, 90}] (* From Harvey P. Dale, Apr 26 2011 *)
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PROG
| (Other) sage: [lcm(n, 16)/16for n in xrange(0, 80)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 12 2009]
(MAGMA) [Numerator(n/(n+16)): n in [0..1000]]; // Vincenzo Librandi, Apr 14 2011
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CROSSREFS
| Cf. A106614 - A106616, A106618 - A106621.
Sequence in context: A072963 A161955 A000265 * A040026 A106609 A171968
Adjacent sequences: A106614 A106615 A106616 * A106618 A106619 A106620
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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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