login
This site is supported by donations to The OEIS Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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 Molien series

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<x>:=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.<x> = 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

N. J. A. Sloane

EXTENSIONS

Definition clarified by N. J. A. Sloane, Feb 02 2018

More terms added by G. C. Greubel, Sep 12 2019

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

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