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A127974
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Numerators in expansion of (1-x)^(-2/3).
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2
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1, 2, 5, 40, 110, 308, 2618, 7480, 21505, 559130, 1621477, 4717024, 41273960, 120646960, 353323240, 3109244512, 9133405754, 26862958100, 711868389650, 2098138411600, 6189508314220, 54821359354520, 161972198092900
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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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a(n) = denominator(n!/(product_{k=0..n-1} (2+3*k))).
a(n) = -3^(floor(n/3) + floor(n/9) + floor(n/27))*Product_{k=0..n} (3*k - 1)/n!. - Roger L. Bagula, Dec 20 2008
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MATHEMATICA
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Table[ -3^(Floor[n/3] + Floor[n/9] + Floor[n/27])*Product[3*k - 1, {k, 0, n}]/n!, {n, 0, 50}] (* Roger L. Bagula, Dec 20 2008 *)
Numerator[CoefficientList[Series[(1 - x)^(-2/3), {x, 0, 50}], x]] (* G. C. Greubel, May 07 2018 *)
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CROSSREFS
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KEYWORD
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easy,nonn,frac
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AUTHOR
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STATUS
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approved
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