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A049390 Expansion of (1-25*x)^(4/5). 0

%I #7 Dec 14 2017 19:39:00

%S 1,-20,-50,-500,-6875,-110000,-1925000,-35750000,-692656250,

%T -13853125000,-283989062500,-5937953125000,-126181503906250,

%U -2717755468750000,-59208244140625000,-1302581371093750000

%N Expansion of (1-25*x)^(4/5).

%F G.f.: (1-25*x)^(4/5).

%F a(n) = 5^n/n! * product[ k=0..n-1 ] (5*k-4).

%F a(n) ~ -4/5*Gamma(1/5)^-1*n^(-9/5)*5^(2*n)*{1 + 18/25*n^-1 + ...}. - Joe Keane (jgk(AT)jgk.org), Nov 24 2001

%e (1-x)^(4/5) = 1 - 4/5*x - 2/25*x^2 - 4/125*x^3 - ...

%t CoefficientList[Series[(1-25x)^(4/5),{x,0,20}],x] (* _Harvey P. Dale_, Dec 14 2017 *)

%Y Cf. A034688.

%K sign,easy

%O 0,2

%A Joe Keane (jgk(AT)jgk.org)

%E Definition adjusted by _Harvey P. Dale_, Dec 14 2017.

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Last modified April 24 06:34 EDT 2024. Contains 371920 sequences. (Running on oeis4.)