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A138034 Let B_n(x) denote the n-th Boubaker polynomial (see A135929). Then a(n) = B_n(1). +0
15
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)
OFFSET

0,3

COMMENT

B_n(-1) gives the same sequence up to signs.

LINKS

Karem Boubaker, On modified Boubaker polynomials: Some differential and analytical Properties of the new polynomials issued from an attempt for solving bi-varied Heat Equation, Trends Applied Sci. Res., vol 2 (5) (2007), 540-544.

K. Boubaker, A. Chaouachi, M. Amlouk, H. Bouzouita, Enhancement of pyrolysis spray disposal performance using thermal time-response to precursor uniform deposition, Eur. Phys. J. Appl. Phys., 37 (2007), 105-109.

Hedi Labiadh and Karem Boubaker, A Sturm-Liouville shaped characteristic differential equation as a guide to establish a quasi-polynomial expression to the Boubaker polynomials, Differential Equations and Control Processes, No. 2 (2007).

FORMULA

a(n) = A119910(n), n>0.

G.f.: (1+3*x^2)/(1-x+x^2). a(n)=a(n-1)-a(n-2), n>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

CROSSREFS

Cf. A135929, A135936, A137276.

KEYWORD

sign,easy,new

AUTHOR

Karem Boubaker (mmbb11112000(AT)yahoo.fr), Mar 01 2008; corrected Mar 03 2008

EXTENSIONS

A-numbers corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 08 2009

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.


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