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A008726 Molien series 1/((1-x)^2*(1-x^8)) for 3-dimensional group [2,n] = *22n. 5
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 16, 18, 20, 22, 24, 27, 30, 33, 36, 39, 42, 45, 48, 52, 56, 60, 64, 68, 72, 76, 80, 85, 90, 95, 100, 105, 110, 115, 120, 126, 132, 138, 144, 150, 156, 162, 168, 175, 182, 189, 196, 203, 210, 217, 224, 232, 240, 248, 256, 264, 272, 280 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 191

Index entries for Molien series

Index entries for linear recurrences with constant coefficients, signature (2,-1,0,0,0,0,0,1,-2,1).

FORMULA

G.f.: 1/((1-x)^2*(1-x^8)).

a(n) = sum(floor(j/8), {j,0,n+8}), a(n-8) = (1/2)floor(n/8)*(2n-6-8*floor(n/8)). - Mitch Harris, Sep 08 2008

a(n) = 2*a(n-1) - a(n-2) + a(n-8) - 2*a(n-9) + a(n-10). - R. J. Mathar, Apr 20 2010

MAPLE

seq(coeff(series(1/(1-x)^2/(1-x^8), x, n+1), x, n), n=0..80);

MATHEMATICA

s=0; lst={}; Do[AppendTo[lst, s+=n]; AppendTo[lst, s+=n]; AppendTo[lst, s+=n]; AppendTo[lst, s+=n]; AppendTo[lst, s+=n]; AppendTo[lst, s+=n]; AppendTo[lst, s+=n]; AppendTo[lst, s+=n], {n, 0, 5!}]; lst (* Vladimir Joseph Stephan Orlovsky, Mar 14 2010 *)

CoefficientList[Series[1 / (1 - x)^2 / (1 - x^8), {x, 0, 70}], x] (* Vincenzo Librandi, Jun 11 2013 *)

LinearRecurrence[{2, -1, 0, 0, 0, 0, 0, 1, -2, 1}, {1, 2, 3, 4, 5, 6, 7, 8, 10, 12}, 70] (* Harvey P. Dale, Jan 07 2015 *)

CROSSREFS

Cf. A001840, A001972, A008724, A008725, A008732. - Vladimir Joseph Stephan Orlovsky, Mar 14 2010

Sequence in context: A113768 A122936 A118729 * A302834 A022788 A141340

Adjacent sequences:  A008723 A008724 A008725 * A008727 A008728 A008729

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Vladimir Joseph Stephan Orlovsky, Mar 14 2010

Minor edits by Jon E. Schoenfield, Mar 28 2014

STATUS

approved

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Last modified August 20 19:51 EDT 2019. Contains 326155 sequences. (Running on oeis4.)