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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 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 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.)