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Search: id:A122589
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| A122589 |
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Sum_{ n >= 0 } a(n) x^(2n) / 2^(2n+12) = 1/(4096 - 11264*x^2 + 11520*x^4 - 5376*x^6 + 1120*x^8 - 84*x^10 + x^12). |
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+0
2
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| 1, 11, 76, 425, 2109, 9709, 42504, 179630, 740025, 2991495, 11920740, 46981740, 183579396, 712493461, 2750450981, 10572046555, 40495806764, 154683305139, 589504177384, 2242448706435, 8517201473375, 32309383853565
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Suggested by study of polynomials associated with the regular 13-gon.
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REFERENCES
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http://www.mathpuzzle.com/ChebyshevU.html
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MAPLE
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A122589 := proc(n) coeftayl(1/(4096-11264*x^2+11520*x^4-5376*x^6+1120*x^8-84*x^10+x^12), x=0, 2*n) ; %*2^(2*n+12) ; end: seq(A122589(n), n=0..24) ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 21 2007
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MATHEMATICA
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m = 12; p[x_] := ExpandAll[x^m*ChebyshevU[m, 1/x]] Table[ SeriesCoefficient[ Series[2^(n + m-1)x/p[x], {x, 0, 30}], n], {n, 1, 30, 2}]
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CROSSREFS
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Cf. A005021, A094256, A122588.
Sequence in context: A092225 A055901 A036427 this_sequence A034269 A056914 A039674
Adjacent sequences: A122586 A122587 A122588 this_sequence A122590 A122591 A122592
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KEYWORD
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nonn,easy
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AUTHOR
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Roger Bagula and Gary Adamson (rlbagulatftn(AT)yahoo.com), Sep 19 2006
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EXTENSIONS
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Edited by N. J. A. Sloane (njas(AT)research.att.com), Oct 02 2006
More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 21 2007
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