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A364660
Numerators of coefficients in expansion of (1 + x)^(1/4).
2
1, 1, -3, 7, -77, 231, -1463, 4807, -129789, 447051, -3129357, 11094993, -159028233, 574948227, -4188908511, 15359331207, -906200541213, 3358272593907, -25000473754641, 93422822977869, -1401342344668035, 5271716439465465, -39777496770512145, 150462705175415505, -4564035390320936985
OFFSET
0,3
EXAMPLE
(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 + ...
Coefficients are 1, 1/4, -3/32, 7/128, -77/2048, 231/8192, -1463/65536, ...
MATHEMATICA
nmax = 24; CoefficientList[Series[(1 + x)^(1/4), {x, 0, nmax}], x] // Numerator
Table[Binomial[1/4, n], {n, 0, 24}] // Numerator
PROG
(PARI) my(x='x+O('x^30)); apply(numerator, Vec((1 + x)^(1/4))) \\ Michel Marcus, Aug 02 2023
CROSSREFS
Denominators are A088802, A123854.
Sequence in context: A103737 A354480 A108537 * A219292 A181554 A116294
KEYWORD
sign,frac
AUTHOR
Ilya Gutkovskiy, Aug 01 2023
STATUS
approved