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A131707
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Period 12: repeat 1, 1, 3, 7, 7, 1, 9, 9, 7, 3, 3, 9 .
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7
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1, 1, 3, 7, 7, 1, 9, 9, 7, 3, 3, 9, 1, 1, 3, 7, 7, 1, 9, 9, 7, 3, 3, 9, 1, 1, 3, 7, 7, 1, 9, 9, 7, 3, 3, 9, 1, 1, 3, 7, 7, 1, 9, 9, 7, 3, 3, 9, 1, 1, 3, 7, 7, 1, 9, 9, 7, 3, 3, 9, 1, 1, 3, 7, 7, 1, 9, 9, 7, 3, 3, 9, 1, 1, 3, 7, 7, 1, 9, 9, 7, 3, 3, 9, 1, 1, 3, 7, 7, 1, 9, 9, 7, 3, 3, 9, 1, 1, 3, 7, 7, 1, 9, 9, 7
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Also the decimal expansion of 1023949/9000009. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 07 2009]
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (1,0,0,0,0,-1,1).
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FORMULA
| a(n)=(1/66)*{49*(n mod 12)-28*[(n+1) mod 12]+5*[(n+2) mod 12]+27*[(n+3) mod 12]+16*[(n+4) mod 12]+5*[(n+5) mod 12]-39*[(n+6) mod 12]+38*[(n+7) mod 12]+5*[(n+8) mod 12]-17*[(n+9) mod 12]-6*[(n+10) mod 12]+5*[(n+11) mod 12]}, with n>=0 - Paolo P. Lava (paoloplava(AT)gmail.com), Oct 02 2007
G.f.: (1+2x^2+4x^3-6x^5+9x^6)/((1-x)(1+x^2)(1-x^2+x^4)). a(n)=a(n-1)-a(n-6)+a(n-7). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 07 2009]
a(n) = 5-2*cos(Pi*n/6) -2*sin(Pi*n/6)/3 -10*sin(Pi*n/2)/3 -2*cos(5*Pi*n/6) -2*sin(5*Pi*n/6)/3. - R. J. Mathar, Oct 08 2011
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CROSSREFS
| Cf. A131711.
Sequence in context: A013564 A009467 A131608 * A016620 A200691 A021269
Adjacent sequences: A131704 A131705 A131706 * A131708 A131709 A131710
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KEYWORD
| nonn,easy
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AUTHOR
| Paul Curtz (bpcrtz(AT)free.fr), Sep 14 2007
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EXTENSIONS
| More terms from Tracy Poff (tracy.poff(AT)gmail.com), Dec 21 2008
Even more periods from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 07 2009
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