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Search: id:A105899
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| A105899 |
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Period 6: repeat 1,1,2,2,3,3. |
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+0
3
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| 1, 1, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Terms of the simple continued fraction of 82/[sqrt(25277)-111]. Decimal expansion of 3401/30303. [From Paolo P. Lava (ppl(AT)spl.at), Aug 05 2009]
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FORMULA
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G.f.: -(3*x^4+2*x^2+1)/(x-1)/(x^2+x+1)/(x^2-x+1). a(n)=A131555(n)+1. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 14 2007
a(n)=(1/30)*{14*(n mod 6)+4*[(n+1) mod 6]-[(n+2) mod 6]+4*[(n+3) mod 6]-[(n+4) mod 6]+4*[(n+5) mod 6]}, with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Dec 19 2007
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PROGRAM
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(PARI) a(n)=1+n%6\2 [From Jaume Oliver Lafont (joliverlafont(AT)gmail.com), Aug 30 2009]
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CROSSREFS
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Cf. A131555.
Sequence in context: A143797 A079729 A071859 this_sequence A135695 A071434 A128924
Adjacent sequences: A105896 A105897 A105898 this_sequence A105900 A105901 A105902
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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), Aug 27 2007
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EXTENSIONS
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Edited by N. J. A. Sloane (njas(AT)research.att.com), Sep 15 2007
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