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A122588
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New sequence based on Chebyshev U Polynomial as a skip powers- odd powers expansion of x/(1024 - 2304 x^2 + 1792 x^4 - 560 x^6 + 60 x^8 - x^10) with 2^(n+9) weights for coefficients.
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1
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1, 9, 53, 260, 1156, 4845, 19551, 76912, 297275, 1134705, 4292145, 16128061, 60304951, 224660626, 834641671
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| This result comes from investigating polynomials associated with the regular nonagon. This sequence is based on a regular 11-gon.
Essentially the same as A005025. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 02 2008]
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REFERENCES
| http://www.mathpuzzle.com/ChebyshevU.html
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FORMULA
| G.f.= -x/(-1+9*x-28*x^2+35*x^3-15*x^4+x^5).
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MATHEMATICA
| m = 10; 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
| Cf. A005021, A094256, A122589.
Sequence in context: A126085 A055854 A202514 * A005025 A038761 A003698
Adjacent sequences: A122585 A122586 A122587 * A122589 A122590 A122591
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KEYWORD
| nonn,uned
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AUTHOR
| Roger Bagula and Gary Adamson (rlbagulatftn(AT)yahoo.com), Sep 19 2006
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EXTENSIONS
| Generating function corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 09 2009
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