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Search: id:A165207
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A165207 Period length 4: repeat 2, 2, 4, 4. +0
2
2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2 (list; graph; listen)
OFFSET

0,1

FORMULA

a(n)=2*A130658(n).

a(n) = A002378(n+1)/A156002(n+1) = A061037(4n+6)/A156002(n+1) = A061037(4n+6)/A061041(8n+12).

a(n) = a(n-1)-a(n-2)+a(n-3). G.f.: 2*(1+2*x^2)/((1-x)*(1+x^2)) [R. J. Mathar, Sep 11 2009]

a(n)=3-[(1/2)-(1/2)*I]*I^n-[(1/2)+(1/2)*I]*(-I)^n, with n>=0 and I=sqrt(-1). a(n)=(1/2)*{2*(n mod 4)+[(n+1) mod 4]+[(n+3) mod 4]}, with n>=0. [From Paolo P. Lava (ppl(AT)spl.at), Sep 16 2009]

CROSSREFS

Sequence in context: A097860 A098979 A071928 this_sequence A130501 A049116 A065176

Adjacent sequences: A165204 A165205 A165206 this_sequence A165208 A165209 A165210

KEYWORD

nonn,easy

AUTHOR

Paul Curtz (bpcrtz(AT)free.fr), Sep 07 2009

EXTENSIONS

Edited, offset set to 0, by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 11 2009

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


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