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 A008797 Molien series for group [2,4]+ = 224. 1
 1, 0, 2, 0, 4, 1, 6, 2, 9, 4, 12, 6, 16, 9, 20, 12, 25, 16, 30, 20, 36, 25, 42, 30, 49, 36, 56, 42, 64, 49, 72, 56, 81, 64, 90, 72, 100, 81, 110, 90, 121, 100, 132, 110, 144, 121, 156, 132, 169, 144, 182, 156, 196, 169, 210, 182, 225, 196, 240, 210, 256, 225, 272, 240, 289, 256, 306, 272 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (1,1,-1,1,-1,-1,1). FORMULA G.f.: (1+x^5)/((1-x^2)^2*(1-x^4)). a(n) = floor((n^2 + 3*n + 11 + 5*(n+1)*(-1)^n)/16). - Tani Akinari, Jul 07 2014 G.f.: (1 - x + x^2 - x^3 + x^4)/( (1+x^2)*(1+x)^2*(1-x)^3 ). - R. J. Mathar, Dec 18 2014 MAPLE seq(coeff(series((1+x^5)/((1-x^2)^2*(1-x^4)), x, n+1), x, n), n = 0..70); # G. C. Greubel, Sep 11 2019 MATHEMATICA CoefficientList[Series[(1+x^5)/((1-x^2)^2(1-x^4)), {x, 0, 70}], x] (* Vincenzo Librandi, Jul 08 2014 *) LinearRecurrence[{1, 1, -1, 1, -1, -1, 1}, {1, 0, 2, 0, 4, 1, 6}, 70] (* Harvey P. Dale, May 15 2017 *) PROG (PARI) Vec((1+x^5)/(1-x^2)^2/(1-x^4)+ O(x^70)) \\ Michel Marcus, Jul 07 2014 (MAGMA) [Floor((n^2+3*n+11+5*(n+1)*(-1)^n)/16): n in [0..70]]; // Vincenzo Librandi, Jul 08 2014 (Sage) def A008797_list(prec):     P. = PowerSeriesRing(ZZ, prec)     return P((1+x^5)/((1-x^2)^2*(1-x^4))).list() A008797_list(70) # G. C. Greubel, Sep 11 2019 (GAP) a:=[1, 0, 2, 0, 4, 1, 6];; for n in [8..70] do a[n]:=a[n-1]+a[n-2]-a[n-3]+a[n-4]-a[n-5]-a[n-6]+a[n-7]; od; a; # G. C. Greubel, Sep 11 2019 CROSSREFS Sequence in context: A243981 A056737 A289144 * A239004 A168036 A217930 Adjacent sequences:  A008794 A008795 A008796 * A008798 A008799 A008800 KEYWORD nonn AUTHOR EXTENSIONS Definition clarified by N. J. A. Sloane, Feb 02 2018 More terms added by G. C. Greubel, Sep 11 2019 STATUS approved

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Last modified October 23 22:15 EDT 2019. Contains 328373 sequences. (Running on oeis4.)