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Search: id:A138034
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| A138034 |
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Let B_n(x) denote the n-th Boubaker Boubaker (1897-1966) polynomial (see A135935). Then a(n) = B_n(1). |
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+0
14
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| 1, 1, 3, 2, -1, -3, -2, 1, 3, 2, -1, -3, -2, 1, 3, 2, -1, -3, -2, 1, 3, 2, -1, -3, -2, 1, 3, 2, -1, -3, -2, 1, 3, 2, -1, -3, -2, 1, 3, 2, -1, -3, -2, 1, 3, 2, -1, -3, -2, 1, 3, 2, -1, -3, -2, 1, 3, 2, -1, -3, -2, 1, 3, 2, -1, -3, -2, 1, 3, 2, -1, -3, -2, 1, 3, 2, -1, -3, -2, 1, 3, 2, -1, -3, -2, 1, 3, 2, -1, -3, -2, 1, 3, 2, -1, -3, -2, 1, 3, 2, -1, -3, -2, 1, 3
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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B_n(-1) gives the same sequence up to signs.
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LINKS
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Karem Boubaker, On modified Boubaker polynomials..., Trends in Appl. Sci. Research, 2 (2007), 540-544.
Karem Boubaker et al., Enhancement of pyrolysis spray disposal performance ..., Eur. Phys. J. Appl. Phys., 37 (2007), 105-109. [Link requires a subscription]
Hedi Labiadh and Karem Boubaker, A Sturm-Liouville shaped characteristic differential equation ..., Differential Equations and Control Processes, No. 2 (2007).
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FORMULA
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1, then period 6: repeat 1,3,2,-1,-3,-2 (see A119910).
G.f.: (1+3*t^2)/(1-t+t^2). Boubaker polynomials have generating function (1+3*t^2)/(1-x*t+t^2).
a(n)=3*[C(2*n,n) mod 2]+(1/6)*{-(n mod 6)+2*[(n+1) mod 6]+3*[(n+2) mod 6]+[(n+3) mod 6]-2*[(n+4) mod 6]-3*[(n+5) mod 6]}, with n>=0. - Paolo P. Lava (ppl(AT)spl.at), Mar 18 2008
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CROSSREFS
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Equals 1 followed by A119910. Cf. A135935, A135936.
Sequence in context: A070309 A130784 A119910 this_sequence A087818 A112746 A107460
Adjacent sequences: A138031 A138032 A138033 this_sequence A138035 A138036 A138037
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KEYWORD
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sign
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AUTHOR
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Karem Boubaker (mmbb11112000(AT)yahoo.fr), Mar 01 2008; corrected Mar 03 2008
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