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Search: id:A158570
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| 1, 2, 4, 1, 1, 2, 5, 1, 1, 2, 4, 1, 1, 2, 5, 1, 1, 2, 4, 1, 1, 2, 5, 1, 1, 2, 4, 1, 1, 2, 5, 1, 1, 2, 4, 1, 1, 2, 5, 1, 1, 2, 4, 1, 1, 2, 5, 1, 1, 2, 4, 1, 1, 2, 5, 1, 1, 2, 4, 1, 1, 2, 5, 1, 1, 2, 4, 1, 1, 2, 5, 1, 1, 2, 4, 1, 1, 2, 5, 1, 1, 2, 4, 1, 1, 2, 5, 1, 1, 2, 4, 1, 1, 2, 5, 1, 1, 2, 4, 1, 1, 2, 5, 1, 1
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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It is a periodic sequence of period 8.
Also the decimal expansion of the constant 124112510/99999999. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 02 2009]
Terms of the simple continued fraction of 399/[5*sqrt(5595)-99]. [From Paolo P. Lava (ppl(AT)spl.at), Aug 05 2009]
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FORMULA
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a(n)=1, if n==0,1,4,5 mod 8; a(n)=2, if n==2,6 mod 8; a(n)=4, if n==3 mod 8; a(n)=5, if n==7 mod 8.
G.f.: -x*(1+2*x+4*x^2+x^3+x^4+2*x^5+5*x^6+x^7)/((x-1)*(1+x)*(x^2+1)*(x^4+1)) [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 02 2009]
a(n)=(1/224)*{17*(n mod 8)+129*[(n+1) mod 8]-67*[(n+2) mod 8]-11*[(n+3) mod 8]+17*[(n+4) mod 8]+101*[(n+5) mod 8]-39*[(n+6) mod 8]-11*[(n+7) mod 8]}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Mar 30 2009]
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CROSSREFS
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A007814, A001147
Sequence in context: A094643 A094593 A007738 this_sequence A074749 A117136 A165200
Adjacent sequences: A158567 A158568 A158569 this_sequence A158571 A158572 A158573
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KEYWORD
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nonn
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AUTHOR
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Vladimir Shevelev (shevelev(AT)bgu.ac.il), Mar 21 2009
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