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1, 25, 362, 3973, 36646, 299530, 2238676, 15613741, 103054094, 650194974, 3950996556, 23257207714, 133217073276, 745218012084, 4083224828328, 21966983072637, 116268166691358, 606474982072982, 3122157367765788
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OFFSET
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1,2
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COMMENTS
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LINKS
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FORMULA
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G.f.: x*c(x)/(1-4*x)^6, where c(x) = g.f. for Catalan numbers.
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MAPLE
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seq(coeff(series((1-sqrt(1-4*x))/(2*(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[(1-Sqrt[1-4*x])/(2*x*(1-4*x)^6), {n, 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((1-sqrt(1-4*x))/(2*(1-4*x)^6)) \\ G. C. Greubel, Jan 13 2020
(Magma) R<x>:=PowerSeriesRing(Rationals(), 40); Coefficients(R!( (1-Sqrt(1-4*x))/(2*(1-4*x)^6) )); // G. C. Greubel, Jan 13 2020
(Sage)
P.<x> = PowerSeriesRing(ZZ, prec)
return P( (1-sqrt(1-4*x))/(2*(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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