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A008798 Molien series for group [2,5]+ = 225. 1
1, 0, 2, 0, 3, 1, 5, 2, 7, 3, 10, 5, 13, 7, 16, 10, 20, 13, 24, 16, 29, 20, 34, 24, 39, 29, 45, 34, 51, 39, 58, 45, 65, 51, 72, 58, 80, 65, 88, 72, 97, 80, 106, 88, 115, 97, 125, 106, 135, 115, 146, 125, 157, 135, 168, 146, 180, 157, 192, 168, 205, 180, 218, 192, 231, 205, 245, 218, 259 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
G.f.: (1+x^6)/((1-x^2)^2*(1-x^5)).
a(n) = (17 + 6*n + 2*n^2 + 5*(-1)^n*(3 + 2*n) + 8*A080891(n+4))/40.
MAPLE
A080891 := proc(n) op((n mod 5)+1, [0, 1, -1, -1, 1]) ; end proc:
A008798 := proc(n) 17/40+3*n/20+n^2/20+(-1)^n*(3/8+n/4) +A080891(n+4)/5; end proc:
MATHEMATICA
CoefficientList[Series[(1+x^6)/((1-x^2)^2*(1-x^5)), {x, 0, 70}], x] (* G. C. Greubel, Sep 12 2019 *)
PROG
(PARI) my(x='x+O('x^70)); Vec((1+x^6)/((1-x^2)^2*(1-x^5))) \\ G. C. Greubel, Sep 12 2019
(Magma) R<x>:=PowerSeriesRing(Integers(), 70); Coefficients(R!( (1+x^6)/((1-x^2)^2*(1-x^5)) )); // G. C. Greubel, Sep 12 2019
(Sage)
def A008798_list(prec):
P.<x> = PowerSeriesRing(ZZ, prec)
return P((1+x^6)/((1-x^2)^2*(1-x^5))).list()
A008798_list(70) # G. C. Greubel, Sep 12 2019
(GAP) a:=[1, 0, 2, 0, 3, 1, 5, 2, 7];; for n in [10..70] do a[n]:=2*a[n-2]-a[n-4]+a[n-5]-2*a[n-7]+a[n-9]; od; a; # G. C. Greubel, Sep 12 2019
CROSSREFS
Sequence in context: A162170 A266770 A282892 * A005290 A326440 A166117
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 March 28 08:22 EDT 2024. Contains 371236 sequences. (Running on oeis4.)