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8, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,1)
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FORMULA
| a(n) = 1 + [2|n] + 2*[4|n] + 4*[8|n], where [x|y] = 1 when x divides y, 0 otherwise.
a(n) = a(n-8).
Multiplicative with a(p^e, 8) = GCD(p^e, 8). David W. Wilson (davidwwilson(AT)comcast.net) Jun 12, 2005.
G.f. ( -8-x-2*x^2-x^3-4*x^4-x^5-2*x^6-x^7 ) / ( (x-1)*(1+x)*(x^2+1)*(x^4+1) ). - R. J. Mathar, Apr 04 2011
Dirichlet g.f. zeta(s)*(1 +1/2^s +2/4^s +4/8^s). - R. J. Mathar, Apr 04 2011
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CROSSREFS
| Cf. A109004.
Sequence in context: A111835 A198830 A010154 * A019763 A179050 A176458
Adjacent sequences: A109008 A109009 A109010 * A109012 A109013 A109014
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KEYWORD
| nonn,easy,mult
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AUTHOR
| Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu)
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