The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A364713 a(n) is the numerator of coefficient of x^n in expansion of (1 + x)^(1/n). 0
 1, -1, 5, -77, 399, -124729, 81549, -23960365, 283583443, -478398640447, 19740912828, -11911591259019739, 18262332208600, -4514446693068714225, 142267808222130386191, -1912831808055538077885, 39773048560156838355, -43025628065750129034887540875, 86435429204640847578555 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Table of n, a(n) for n=1..19. EXAMPLE 1, -1/8, 5/81, -77/2048, 399/15625, -124729/6718464, 81549/5764801, ... MATHEMATICA Table[SeriesCoefficient[(1 + x)^(1/n), {x, 0, n}], {n, 1, 21}] // Numerator Table[Binomial[1/n, n], {n, 1, 21}] // Numerator PROG (PARI) a(n) = numerator(binomial(1/n, n)); \\ Michel Marcus, Aug 05 2023 CROSSREFS Denominators are A145921. Cf. A002596, A067622, A344745, A364660. Sequence in context: A059856 A001513 A028556 * A214867 A330999 A331000 Adjacent sequences: A364710 A364711 A364712 * A364714 A364715 A364716 KEYWORD sign,frac AUTHOR Ilya Gutkovskiy, Aug 04 2023 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified March 1 05:26 EST 2024. Contains 370430 sequences. (Running on oeis4.)