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A049394 Expansion of (1-25*x)^(-6/5). 1

%I #8 Jan 16 2020 08:46:01

%S 1,30,825,22000,577500,15015000,387887500,9974250000,255590156250,

%T 6531748437500,166559585156250,4239698531250000,107759004335937500,

%U 2735420879296875000,69362458010742187500,1757182269605468750000

%N Expansion of (1-25*x)^(-6/5).

%F G.f.: (1-25*x)^(-6/5).

%F a(n) = (5^n/n!) * Product_{k=0..n-1} (5*k+6).

%F a(n) ~ 5*Gamma(1/5)^-1*n^(1/5)*5^(2*n)*{1 + 3/25*n^-1 - ...}. - Joe Keane (jgk(AT)jgk.org), Nov 24 2001

%e (1-x)^(-6/5) = 1 + 6/5*x + 33/25*x^2 + 176/125*x^3 + ...

%t CoefficientList[Series[(1-25*x)^(-6/5), {x, 0, 15}], x] (* _Georg Fischer_, Jan 16 2020 *)

%Y Cf. A034688.

%K nonn,easy

%O 0,2

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

%E Definition corrected by _Georg Fischer_, Jan 16 2020

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Last modified September 18 15:46 EDT 2024. Contains 376000 sequences. (Running on oeis4.)