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A299296
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G.f. 1/(1-z*R(z*m(z))) where R(z) = (1-z-(z+1)*sqrt(1-4*z))/(2*z^2), m(z) = (3-z-sqrt(1-6*z+z^2))/2.
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0
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1, 2, 7, 30, 140, 684, 3440, 17652, 91936, 484356, 2575280, 13795668, 74367408, 403026372, 2194186272, 11993494356, 65787201984, 361983246084, 1997299980368, 11048026950228, 61250480822416, 340274092662084, 1893939042807872, 10559753415822420, 58970301517748000
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OFFSET
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0,2
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LINKS
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MAPLE
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R:=z->(1-z-(z+1)*sqrt(1-4*z))/(2*z^2);
m:=z->(3-z-sqrt(1-6*z+z^2))/2;
M:=z->1/(1-z*R(z*m(z)));
series(M(z), z, 40);
seriestolist(%);
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MATHEMATICA
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R[z_] := (1 - z - (z + 1) Sqrt[1 - 4 z])/(2 z^2); m[z_] := (3 - z - Sqrt[1 - 6 z + z^2])/2; CoefficientList[Series[1/(1 - z R[z m[z]]), {z, 0, 24}], z] (* Michael De Vlieger, Feb 17 2018 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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