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 A049395 #19 Sep 08 2022 08:44:58 %S A049395 1,35,1050,29750,818125,22089375,589050000,15567750000,408653437500, %T A049395 10670395312500,277430278125000,7187966296875000,185689129335937500, %U A049395 4785066025195312500,123044554933593750000,3158143576628906250000 %N A049395 Expansion of (1-25*x)^(-7/5). %H A049395 Robert Israel, <a href="/A049395/b049395.txt">Table of n, a(n) for n = 0..713</a> %F A049395 G.f.: (1-25*x)^(-7/5). %F A049395 a(n) = (5^n/n!) * Product_{k=0..n-1} (5*k+7). %F A049395 a(n) ~ 5/2*Gamma(2/5)^-1*n^(2/5)*5^(2*n)*{1 + 7/25*n^-1 - ...}. - Joe Keane (jgk(AT)jgk.org), Nov 24 2001 %F A049395 a(n) = (25+10/n)*a(n-1) for n >= 1. - _Robert Israel_, Mar 15 2020 %p A049395 f:= gfun:-rectoproc({a(n) = (25+10/n)*a(n-1), a(0) = 1}, a(n), remember): %p A049395 map(f, [$1..50]); # _Robert Israel_, Mar 15 2020 %t A049395 CoefficientList[Series[(1-25*x)^(-7/5), {x, 0, 15}], x] (* _Georg Fischer_, Jan 16 2020 *) %o A049395 (Magma) R<x>:=PowerSeriesRing(Rationals(), 16); Coefficients(R!( (1-25*x)^(-7/5) )); // _Marius A. Burtea_, Jan 16 2020 %Y A049395 Cf. A049380. %K A049395 nonn,easy %O A049395 0,2 %A A049395 Joe Keane (jgk(AT)jgk.org) %E A049395 Typo in name corrected by _Georg Fischer_, Jan 16 2020