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1, 23, 310, 3195, 27866, 216566, 1546028, 10338515, 65635570, 399429602, 2346750900, 13384232030, 74417751940, 404759481420, 2159510136408, 11327603405955, 58528412321250, 298354368109930, 1502525977613540
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OFFSET
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0,2
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COMMENTS
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LINKS
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FORMULA
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G.f. c(x)/(1-4*x)^(11/2), where c(x) = g.f. for Catalan numbers.
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MAPLE
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seq(coeff(series((sqrt(1-4*x) +4*x-1)/(2*x*(1-4*x)^6), x, n+1), x, n), n = 0..40); # G. C. Greubel, Jan 13 2020
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MATHEMATICA
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CoefficientList[Series[(Sqrt[1-4*x] +4*x-1)/(2*x*(1-4*x)^6), {x, 0, 40}], x] (* G. C. Greubel, Jan 13 2020 *)
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PROG
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(PARI) my(x='x+O('x^40)); Vec( (sqrt(1-4*x) +4*x-1)/(2*x*(1-4*x)^6) ) \\ G. C. Greubel, Jan 13 2020
(Magma) R<x>:=PowerSeriesRing(Rationals(), 40); Coefficients(R!( (Sqrt(1-4*x) +4*x-1)/(2*x*(1-4*x)^6) )); // G. C. Greubel, Jan 13 2020
(Sage)
P.<x> = PowerSeriesRing(ZZ, prec)
return P( (sqrt(1-4*x) +4*x-1)/(2*x*(1-4*x)^6) ).list()
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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