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A156755 Period 9: repeat 1,1,2,1,1,2,2,2,3. +0
2
1, 1, 2, 1, 1, 2, 2, 2, 3, 1, 1, 2, 1, 1, 2, 2, 2, 3, 1, 1, 2, 1, 1, 2, 2, 2, 3, 1, 1, 2, 1, 1, 2, 2, 2, 3, 1, 1, 2, 1, 1, 2, 2, 2, 3, 1, 1, 2, 1, 1, 2, 2, 2, 3, 1, 1, 2, 1, 1, 2, 2, 2, 3, 1, 1, 2, 1, 1, 2, 2, 2, 3, 1, 1, 2, 1, 1, 2, 2, 2, 3, 1, 1, 2, 1, 1, 2, 2, 2, 3, 1, 1, 2, 1, 1, 2, 2, 2, 3, 1, 1, 2, 1, 1, 2 (list; graph; listen)
OFFSET

0,3

COMMENT

Decimal expansion of 37370741/333333333. Terms of the simple continued fraction of 358/[sqrt(511229)-507]. [From Paolo P. Lava (ppl(AT)spl.at), Feb 23 2009]

FORMULA

a(n)=(1/108)*{29*(n mod 9)-7*[(n+1) mod 9]+5*[(n+2) mod 9]+5*[(n+3) mod 9]-7*[(n+4) mod 9]+5*[(n+5) mod 9]+17*[(n+6) mod 9]-7*[(n+7) mod 9]+5*[(n+8) mod 9]}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Feb 23 2009]

G.f.: (1+x+2*x^2+x^3+x^4+2*x^5+2*x^6+2*x^7+3*x^8)/((1-x)*(1+x+x^2)*(x^6+x^3+1)). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 06 2009]

CROSSREFS

Suggested by A090822.

Sequence in context: A029285 A134337 A053633 this_sequence A090822 A091975 A091976

Adjacent sequences: A156752 A156753 A156754 this_sequence A156756 A156757 A156758

KEYWORD

nonn,easy

AUTHOR

Paul Curtz (bpcrtz(AT)free.fr), Feb 15 2009

EXTENSIONS

More periods from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 06 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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