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Search: id:A088911
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| A088911 |
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a(n)=a(n-6), a(0)=a(1)=a(2)=1, a(3)=a(4)=a(5)=0. |
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+0
14
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| 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1
(list; graph; listen)
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OFFSET
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0,1
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LINKS
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Index entries for sequences related to Chebyshev polynomials.
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FORMULA
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G.f.: (1+x+x^2)/(1-x^6). a(n)=(1/2)((-1)^(Floor[(5n + 2)/3]) + 1).
a(n)=sum{k=0..floor(n/2), U(n-2k, 1/2)} - Paul Barry (pbarry(AT)wit.ie), Nov 15 2003
Partial sums of expansion of 1/(1+x^3). a(n)=2sin(pi*r/3+pi/6)/3+cos(pi*r)/6+1/2 - Paul Barry (pbarry(AT)wit.ie), Mar 14 2004
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MATHEMATICA
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CoefficientList[Series[(1 + x + x^2)/(1 - x^6), {x, 0, 50}], x]
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PROGRAM
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(PARI) a(n)=n%6<3 [From Jaume Oliver Lafont (joliverlafont(AT)gmail.com), Mar 17 2009]
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CROSSREFS
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Sequence in context: A143466 A117908 A115360 this_sequence A105349 A096606 A128190
Adjacent sequences: A088908 A088909 A088910 this_sequence A088912 A088913 A088914
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KEYWORD
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base,nonn
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AUTHOR
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Mario Catalani (mario.catalani(AT)unito.it), Oct 22 2003
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EXTENSIONS
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More terms from Ray Chandler (rayjchandler(AT)sbcglobal.net) and Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 24 2003
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