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A106609 Numerator of n/(n+8). +0
1
0, 1, 1, 3, 1, 5, 3, 7, 1, 9, 5, 11, 3, 13, 7, 15, 2, 17, 9, 19, 5, 21, 11, 23, 3, 25, 13, 27, 7, 29, 15, 31, 4, 33, 17, 35, 9, 37, 19, 39, 5, 41, 21, 43, 11, 45, 23, 47, 6, 49, 25, 51, 13, 53, 27, 55, 7, 57, 29, 59, 15, 61, 31, 63, 8, 65, 33, 67, 17, 69, 35, 71, 9, 73, 37, 75, 19, 77, 39, 79 (list; graph; listen)
OFFSET

0,4

COMMENT

The graph of this sequence is made up of four linear functions: a(n_odd)=n, a(n=2+4i)=n/2, a(4+8i)=n/4, a(8i)=n/8. Zak Seidov (zakseidov!ahoo.com), Oct 30, 2006. In general, f(n) = numerator of n/(n+m) consists of linear functions n/d_i, where d_i are divisors of m (including 1 and m).

LINKS

N. J. A. Sloane, Table of n, a(n) for n = 0..10000

MAPLE

with(finance):seq(numer(cashflows( [1, 1, n], 1 )), n=-6..73); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 30 2008

PROGRAM

(Other) sage: [lcm(n, 8)/8for n in xrange(0, 80)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 09 2009]

CROSSREFS

A109049 [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 09 2009]

Sequence in context: A000265 A106617 A040026 this_sequence A093474 A030101 A162742

Adjacent sequences: A106606 A106607 A106608 this_sequence A106610 A106611 A106612

KEYWORD

nonn,frac

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), May 15 2005

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.


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