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A364713
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a(n) is the numerator of coefficient of x^n in expansion of (1 + x)^(1/n).
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0
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1, -1, 5, -77, 399, -124729, 81549, -23960365, 283583443, -478398640447, 19740912828, -11911591259019739, 18262332208600, -4514446693068714225, 142267808222130386191, -1912831808055538077885, 39773048560156838355, -43025628065750129034887540875, 86435429204640847578555
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OFFSET
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1,3
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LINKS
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EXAMPLE
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1, -1/8, 5/81, -77/2048, 399/15625, -124729/6718464, 81549/5764801, ...
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MATHEMATICA
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Table[SeriesCoefficient[(1 + x)^(1/n), {x, 0, n}], {n, 1, 21}] // Numerator
Table[Binomial[1/n, n], {n, 1, 21}] // Numerator
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PROG
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(PARI) a(n) = numerator(binomial(1/n, n)); \\ Michel Marcus, Aug 05 2023
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CROSSREFS
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KEYWORD
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sign,frac
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AUTHOR
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STATUS
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approved
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