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%I #13 Aug 02 2023 07:07:12
%S 1,1,-3,7,-77,231,-1463,4807,-129789,447051,-3129357,11094993,
%T -159028233,574948227,-4188908511,15359331207,-906200541213,
%U 3358272593907,-25000473754641,93422822977869,-1401342344668035,5271716439465465,-39777496770512145,150462705175415505,-4564035390320936985
%N Numerators of coefficients in expansion of (1 + x)^(1/4).
%e (1 + x)^(1/4) = 1 + x/4 - 3*x^2/32 + 7*x^3/128 - 77*x^4/2048 + 231*x^5/8192 - 1463*x^6/65536 + ...
%e Coefficients are 1, 1/4, -3/32, 7/128, -77/2048, 231/8192, -1463/65536, ...
%t nmax = 24; CoefficientList[Series[(1 + x)^(1/4), {x, 0, nmax}], x] // Numerator
%t Table[Binomial[1/4, n], {n, 0, 24}] // Numerator
%o (PARI) my(x='x+O('x^30)); apply(numerator, Vec((1 + x)^(1/4))) \\ _Michel Marcus_, Aug 02 2023
%Y Denominators are A088802, A123854.
%Y Cf. A002596, A004130, A008545, A067622, A364661.
%K sign,frac
%O 0,3
%A _Ilya Gutkovskiy_, Aug 01 2023
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