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A130974
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Period 6: repeat 1, 1, 1, 3, 3, 3.
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2
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1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| Terms of the simple continued fraction of 3/[sqrt(35)-4]. Decimal expansion of 1003/9009. [From Paolo P. Lava (paoloplava(AT)gmail.com), Aug 05 2009]
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FORMULA
| a(n)=(1/15)*{7*(n mod 6)+2*[(n+1) mod 6]+2*[(n+2) mod 6]-[(n+3) mod 6]+2*[(n+4) mod 6]+2*[(n+5) mod 6]}, with n>=0. - Paolo P. Lava (paoloplava(AT)gmail.com), Oct 02 2007
G.f.: -(3*x^3+1)/(x-1)/(1+x)/(x^2-x+1). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 15 2007
a(n) = 2-2/3*cos(1/3*Pi*n)-2/3*3^(1/2)*sin(1/3*Pi*n)+1/3*(-1)^(1+n). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 15 2007
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CROSSREFS
| Cf. A177957 (decimal expansion of (12+3*sqrt(35))/19. [From Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), May 16 2010]
Sequence in context: A126066 A177693 A131289 * A064353 A190906 A080311
Adjacent sequences: A130971 A130972 A130973 * A130975 A130976 A130977
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KEYWORD
| nonn,easy
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AUTHOR
| Paul Curtz (bpcrtz(AT)free.fr), Sep 28 2007
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