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A052537
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Expansion of (1-x)/(1-x-2x^3).
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4
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1, 0, 0, 2, 2, 2, 6, 10, 14, 26, 46, 74, 126, 218, 366, 618, 1054, 1786, 3022, 5130, 8702, 14746, 25006, 42410, 71902, 121914, 206734, 350538, 594366, 1007834, 1708910, 2897642, 4913310, 8331130, 14126414, 23953034, 40615294, 68868122, 116774190, 198004778
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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LINKS
| INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 468
Index to sequences with linear recurrences with constant coefficients, signature (1,0,2).
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FORMULA
| G.f.: (-1+x)/(-1+x+2*x^3)
Recurrence: {a(1)=0, a(0)=1, a(2)=0, 2*a(n)+a(n+2)-a(n+3)=0}
Sum(-1/29*(1+3*_alpha^2-10*_alpha)*_alpha^(-1-n), _alpha=RootOf(-1+_Z+2*_Z^3))
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MAPLE
| spec := [S, {S=Sequence(Prod(Z, Z, Union(Z, Z), Sequence(Z)))}, unlabeled]: seq(combstruct[count](spec, size=n), n=0..20);
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MATHEMATICA
| CoefficientList[Series[(1-x)/(1-x-2x^3), {x, 0, 50}], x](*or*)LinearRecurrence[{1, 0, 2}, {1, 0, 0}, 50] (* From Vladimir Joseph Stephan Orlovsky, Jan 28 2012 *)
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CROSSREFS
| Cf. A003229.
Sequence in context: A121698 A087482 A137227 * A024945 A186507 A032306
Adjacent sequences: A052534 A052535 A052536 * A052538 A052539 A052540
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KEYWORD
| easy,nonn
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AUTHOR
| encyclopedia(AT)pommard.inria.fr, Jan 25 2000
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EXTENSIONS
| More terms from James A. Sellers (sellersj(AT)math.psu.edu), Jun 05 2000
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