cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A049394 #8 Jan 16 2020 08:46:01
%S A049394 1,30,825,22000,577500,15015000,387887500,9974250000,255590156250,
%T A049394 6531748437500,166559585156250,4239698531250000,107759004335937500,
%U A049394 2735420879296875000,69362458010742187500,1757182269605468750000
%N A049394 Expansion of (1-25*x)^(-6/5).
%F A049394 G.f.: (1-25*x)^(-6/5).
%F A049394 a(n) = (5^n/n!) * Product_{k=0..n-1} (5*k+6).
%F A049394 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 A049394 (1-x)^(-6/5) = 1 + 6/5*x + 33/25*x^2 + 176/125*x^3 + ...
%t A049394 CoefficientList[Series[(1-25*x)^(-6/5), {x, 0, 15}], x] (* _Georg Fischer_, Jan 16 2020 *)
%Y A049394 Cf. A034688.
%K A049394 nonn,easy
%O A049394 0,2
%A A049394 Joe Keane (jgk(AT)jgk.org)
%E A049394 Definition corrected by _Georg Fischer_, Jan 16 2020