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Search: id:A135537
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| A135537 |
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Period 4: repeat 7, 5, 2, 4. |
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+0
1
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| 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Terms of the simple continued fraction of 158/[19*sqrt(365)-341]. Decimal expansion of 76/101. [From Paolo P. Lava (ppl(AT)spl.at), Aug 05 2009]
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FORMULA
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O.g.f.: [(x+5)/(x^2+1)+9(1-x)]/2. a(n) = [(-1)^[n/2]*A010686(n+1)+9]/2 . - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 23 2008
a(n)=(1/4)*{[(n+1) mod 4]+6*[(n+2) mod 4]+5*[(n+3) mod 4]}, with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Feb 25 2008
a(n)=9/2+[5/4-(1/4)*I]*I^n+[5/4+(1/4)*I]*(-I)^n, with n>=0 and I=sqrt(-1) - Paolo P. Lava (ppl(AT)spl.at), Jul 17 2008
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CROSSREFS
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Cf. A021408, A010693; equals A135536 mod 9.
Sequence in context: A084911 A071876 A070404 this_sequence A112545 A021934 A021097
Adjacent sequences: A135534 A135535 A135536 this_sequence A135538 A135539 A135540
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KEYWORD
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nonn
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AUTHOR
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Paul Curtz (bpcrtz(AT)free.fr), Feb 22 2008
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