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 A122589 Expansion of 1/(1 - 11*x + 45*x^2 - 84*x^3 + 70*x^4 - 21*x^5 + x^6). 2
 1, 11, 76, 425, 2109, 9709, 42504, 179630, 740025, 2991495, 11920740, 46981740, 183579396, 712493461, 2750450981, 10572046555, 40495806764, 154683305139, 589504177384, 2242448706435, 8517201473375, 32309383853565 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Previous name was: Sum_{n >= 0} a(n)*x^(2n) / 4^(n+6) = 1/(4096 - 11264*x^2 + 11520*x^4 - 5376*x^6 + 1120*x^8 - 84*x^10 + x^12). Suggested by study of polynomials associated with the regular 13-gon. LINKS G. C. Greubel, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (11,-45,84,-70,21,-1). FORMULA G.f.: 1/(1 - 11*x + 45*x^2 - 84*x^3 + 70*x^4 - 21*x^5 + x^6). - Colin Barker, Oct 16 2013 MAPLE 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..30); # R. J. Mathar, Sep 21 2007 MATHEMATICA 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}] PROG (Magma) R:=PowerSeriesRing(Integers(), 30); Coefficients(R!( 1/(1-11*x+45*x^2 -84*x^3+70*x^4-21*x^5+x^6) )); // G. C. Greubel, Nov 29 2021 (Sage) def A122589_list(prec): P. = PowerSeriesRing(ZZ, prec) return P( 1/(1-11*x+45*x^2-84*x^3+70*x^4-21*x^5+x^6) ).list() A122589_list(30) # G. C. Greubel, Nov 29 2021 CROSSREFS Cf. A005021, A094256, A122588. Sequence in context: A282816 A055901 A036427 * A302382 A034269 A256597 Adjacent sequences: A122586 A122587 A122588 * A122590 A122591 A122592 KEYWORD nonn,easy AUTHOR Roger L. Bagula and Gary W. Adamson, Sep 19 2006 EXTENSIONS Edited by N. J. A. Sloane, Oct 02 2006 More terms from R. J. Mathar, Sep 21 2007 New name from Colin Barker, Oct 16 2013 STATUS approved

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Last modified November 28 15:31 EST 2023. Contains 367419 sequences. (Running on oeis4.)