Search: id:A122588
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%I A122588
%S A122588 1,9,53,260,1156,4845,19551,76912,297275,1134705,4292145,16128061,
%T A122588 60304951,224660626,834641671
%N A122588 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.
%C A122588 This result comes from investigating polynomials associated with the 
               regular nonagon. This sequence is based on a regular 11-gon.
%C A122588 Essentially the same as A005025. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Aug 02 2008]
%D A122588 http://www.mathpuzzle.com/ChebyshevU.html
%F A122588 G.f.= -x/(-1+9*x-28*x^2+35*x^3-15*x^4+x^5).
%t A122588 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}]
%Y A122588 Cf. A005021, A094256, A122589.
%Y A122588 Sequence in context: A036425 A126085 A055854 this_sequence A005025 A038761 
               A003698
%Y A122588 Adjacent sequences: A122585 A122586 A122587 this_sequence A122589 A122590 
               A122591
%K A122588 nonn,uned
%O A122588 1,2
%A A122588 Roger Bagula and Gary Adamson (rlbagulatftn(AT)yahoo.com), Sep 19 2006
%E A122588 Generating function corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Jul 09 2009

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