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 A008799 Molien series for group [2,6]+ = 226. 1
 1, 0, 2, 0, 3, 0, 5, 1, 7, 2, 9, 3, 12, 5, 15, 7, 18, 9, 22, 12, 26, 15, 30, 18, 35, 22, 40, 26, 45, 30, 51, 35, 57, 40, 63, 45, 70, 51, 77, 57, 84, 63, 92, 70, 100, 77, 108, 84, 117, 92, 126, 100, 135, 108, 145, 117, 155, 126, 165, 135, 176, 145, 187, 155, 198, 165, 210, 176, 222, 187 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS G. C. Greubel, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (1,1,-1,0,0,1,-1,-1,1). FORMULA G.f.: (1+x^7)/((1-x^2)^2*(1-x^6)). a(n) = floor((n^2+3*n+21+7*(n+1)*(-1)^n)/24). - Tani Akinari, Jul 25 2013 G.f.: (1 -x +x^2 -x^3 +x^4 -x^5 +x^6)/( (1+x+x^2)*(1-x+x^2)*(1+x)^2*(1-x)^3 ). - R. J. Mathar, Dec 18 2014 MAPLE seq(coeff(series((1+x^7)/((1-x^2)^2*(1-x^6)), x, n+1), x, n), n = 0..80); MATHEMATICA CoefficientList[Series[(1+x^7)/((1-x^2)^2*(1-x^6)), {x, 0, 80}], x] (* G. C. Greubel, Sep 12 2019 *) PROG (PARI) my(x='x+O('x^80)); Vec((1+x^7)/((1-x^2)^2*(1-x^6))) \\ G. C. Greubel, Sep 12 2019 (MAGMA) R:=PowerSeriesRing(Integers(), 80); Coefficients(R!( (1+x^7)/((1-x^2)^2*(1-x^6)) )); // G. C. Greubel, Sep 12 2019 (Sage) def A008799_list(prec):     P. = PowerSeriesRing(ZZ, prec)     return P((1+x^7)/((1-x^2)^2*(1-x^6))).list() A008799_list(80) # G. C. Greubel, Sep 12 2019 (GAP) a:=[1, 0, 2, 0, 3, 0, 5, 1, 7];; for n in [10..80] do a[n]:=a[n-1]+a[n-2]-a[n-3]+a[n-6]-a[n-7]-a[n-8]+a[n-9]; od; a; # G. C. Greubel, Sep 12 2019 CROSSREFS Sequence in context: A227093 A266772 A262064 * A325346 A325836 A011013 Adjacent sequences:  A008796 A008797 A008798 * A008800 A008801 A008802 KEYWORD nonn AUTHOR EXTENSIONS Definition clarified by N. J. A. Sloane, Feb 02 2018 More terms added by G. C. Greubel, Sep 12 2019 STATUS approved

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Last modified December 14 17:55 EST 2019. Contains 329979 sequences. (Running on oeis4.)