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Search: id:A084104
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A084104 A period 6 sequence. +0
3
1, 4, 7, 7, 4, 1, 1, 4, 7, 7, 4, 1, 1, 4, 7, 7, 4, 1, 1, 4, 7, 7, 4, 1, 1, 4, 7, 7, 4, 1, 1, 4, 7, 7, 4, 1, 1, 4, 7, 7, 4, 1, 1, 4, 7, 7, 4, 1, 1, 4, 7, 7, 4, 1, 1, 4, 7, 7, 4, 1, 1, 4, 7, 7, 4, 1, 1, 4, 7, 7, 4, 1, 1, 4, 7, 7, 4, 1, 1, 4, 7, 7, 4, 1, 1, 4, 7, 7, 4, 1, 1, 4, 7, 7, 4, 1, 1, 4, 7, 7, 4, 1, 1, 4, 7 (list; graph; listen)
OFFSET

0,2

COMMENT

Partial sums of A084103.

Terms of the simple continued fraction of 133/[sqrt(18530)-29]. Decimal expansion of 121/819. [From Paolo P. Lava (ppl(AT)spl.at), Aug 05 2009]

FORMULA

a(n)=1/30*{8*(n mod 6)+23*[(n+1) mod 6]+23*[(n+2) mod 6]+8*[(n+3) mod 6]-7*[(n+4) mod 6]-7*[(n+5) mod 6]} - Paolo P. Lava (ppl(AT)spl.at), Oct 20 2006

Euler transform of length 6 sequence [ 4, -3, -1, 0, 0, 1]. - Michael Somos Nov 07 2006

G.f.: (1+x)^3/((1-x)(1+x^3)).

G.f.:(1+x)^2/((1-x)*(1-x+x^2)) [From Jaume Oliver Lafont (joliverlafont(AT)gmail.com), Aug 27 2009]

PROGRAM

(PARI) {a(n)=[1, 4, 7, 7, 4, 1][n%6+1]}

(PARI) a(n)=2*sqrt(3)*sin((n+5)*Pi/3)+4 [From Jaume Oliver Lafont (joliverlafont(AT)gmail.com), Aug 27 2009]

CROSSREFS

Cf. A084101, A007877.

Sequence in context: A097916 A086775 A132266 this_sequence A093582 A075113 A011222

Adjacent sequences: A084101 A084102 A084103 this_sequence A084105 A084106 A084107

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), May 15 2003

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


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