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Search: id:A131712
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| A131712 |
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Period 4: repeat 1, 3, 7, 9 . |
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+0
1
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| 1, 3, 7, 9, 1, 3, 7, 9, 1, 3, 7, 9, 1, 3, 7, 9, 1, 3, 7, 9, 1, 3, 7, 9, 1, 3, 7, 9
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Terms of the simple continued fraction of 58/[17*sqrt(285)-243]. [From Paolo P. Lava (ppl(AT)spl.at), Aug 05 2009]
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FORMULA
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a(n)=(1/6)*{17*(n mod 6)+2*[(n+1) mod 4]-2*[(n+2) mod 4]-[(n+3) mod 4]}, with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Oct 02 2007
G.f.: -(1+3*x+7*x^2+9*x^3)/(x-1)/(x+1)/(1+x^2). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 14 2007
a(n)=5-[3/2-(3/2)*I]*I^n-(-1)^n-[3/2+(3/2)*I]*(-I)^n, with n>=0 and I=sqrt(-1) - Paolo P. Lava (ppl(AT)spl.at), Jul 17 2008
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PROGRAM
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(PARI) a(n)=1+2*(n%4)+2*(n%4\2) [From Jaume Oliver Lafont (joliverlafont(AT)gmail.com), Aug 28 2009]
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CROSSREFS
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Cf. A131707, A072845.
Sequence in context: A152057 A101366 A090458 this_sequence A072845 A021729 A071641
Adjacent sequences: A131709 A131710 A131711 this_sequence A131713 A131714 A131715
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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), Sep 14 2007
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