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A063823
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Expansion of g.f. (1 - 2*x^2 - 3*x^3)/((1 - x^3)*(1 - 2*x)).
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0
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1, 2, 2, 2, 4, 6, 10, 20, 38, 74, 148, 294, 586, 1172, 2342, 4682, 9364, 18726, 37450, 74900, 149798, 299594, 599188, 1198374, 2396746, 4793492, 9586982, 19173962, 38347924, 76695846, 153391690, 306783380, 613566758, 1227133514, 2454267028, 4908534054, 9817068106
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OFFSET
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0,2
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REFERENCES
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P. de la Harpe, Topics in Geometric Group Theory, Univ. Chicago Press, 2000, p. 259.
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LINKS
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FORMULA
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E.g.f.: exp(-x/2)*(exp(3*x/2)*(28 + 3*exp(x)) - 10*cos(sqrt(3)*x/2) + 2*sqrt(3)*sin(sqrt(3)*x/2))/21. - Stefano Spezia, May 30 2023
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MATHEMATICA
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LinearRecurrence[{2, 0, 1, -2}, {1, 2, 2, 2}, 37] (* Stefano Spezia, May 30 2023 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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