A364713 a(n) is the numerator of coefficient of x^n in expansion of (1 + x)^(1/n).
1, -1, 5, -77, 399, -124729, 81549, -23960365, 283583443, -478398640447, 19740912828, -11911591259019739, 18262332208600, -4514446693068714225, 142267808222130386191, -1912831808055538077885, 39773048560156838355, -43025628065750129034887540875, 86435429204640847578555
Offset: 1
Examples
1, -1/8, 5/81, -77/2048, 399/15625, -124729/6718464, 81549/5764801, ...
Programs
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Mathematica
Table[SeriesCoefficient[(1 + x)^(1/n), {x, 0, n}], {n, 1, 21}] // Numerator Table[Binomial[1/n, n], {n, 1, 21}] // Numerator -
PARI
a(n) = numerator(binomial(1/n, n)); \\ Michel Marcus, Aug 05 2023