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.
%I A049396 #7 May 06 2016 16:57:10
%S A049396 1,40,1300,39000,1121250,31395000,863362500,23434125000,629792109375,
%T A049396 16794456250000,445053090625000,11733217843750000,307996968398437500,
%U A049396 8055305327343750000,210013317462890625000,5460346254035156250000
%N A049396 Expansion of (1-25*x)^(-8/5).
%F A049396 G.f.: (1-25*x)^(-8/5).
%F A049396 a(n) = (5^n/n!) * product[ k=0..n-1 ] (5*k+8).
%F A049396 a(n) ~ (5/3)*Gamma(3/5)^-1*n^(3/5)*5^(2*n)*{1 + 12/25*n^-1 - ...}. - Joe Keane (jgk(AT)jgk.org), Nov 24 2001
%e A049396 (1-25*x)^(-8/5) = 1+40*x+1300*x^2+39000*x^3+1121250*x^4+31395000*x^5+...
%t A049396 CoefficientList[Series[(1-25x)^-(8/5),{x,0,20}],x] (* _Harvey P. Dale_, May 06 2016 *)
%Y A049396 Cf. A049381.
%K A049396 nonn,easy
%O A049396 0,2
%A A049396 Joe Keane (jgk(AT)jgk.org)
%E A049396 Typo in definition corrected by _N. J. A. Sloane_, May 06 2016