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Search: id:A135929
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| A135929 |
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Triangle read by rows: row n gives coefficients of Boubaker polynomial B_n(x) in order of decreasing exponents. |
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+0
7
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| 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, -2, 1, 0, -1, 0, -3, 0, 1, 0, -2, 0, -3, 0, 2, 1, 0, -3, 0, -2, 0, 5, 0, 1, 0, -4, 0, 0, 0, 8, 0, -2, 1, 0, -5, 0, 3, 0, 10, 0, -7, 0, 1, 0, -6, 0, 7, 0, 10, 0, -15, 0, 2
(list; table; graph; listen)
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OFFSET
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0,6
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COMMENT
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See A138034 for references.
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REFERENCES
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M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, December 1972; see Chapter 22.
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FORMULA
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Boubaker polynomials have generating function (1+3*t^2)/(1-x*t+t^2). They are related to the Chebyshev polynomials S_n(x), which have g.f. 1/(1-x*t+t^2) (see Abramowitz and Stegun).
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EXAMPLE
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The Boubaker polynomials B_0(x), B_1(x), B_2(x), ... are:
1
x
x^2+2
x^3+x
x^4-2
x^5-x^3-3*x
x^6-2*x^4-3*x^2+2
x^7-3*x^5-2*x^3+5*x
x^8-4*x^6+8*x^2-2
x^9-5*x^7+3*x^5+10*x^3-7*x
...
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CROSSREFS
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Cf. A138034, A135936.
Sequence in context: A115604 A128617 A116488 this_sequence A080733 A080732 A088568
Adjacent sequences: A135926 A135927 A135928 this_sequence A135930 A135931 A135932
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KEYWORD
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sign,tabl,more
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AUTHOR
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njas, Mar 09 2008
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