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 A309803 #22 Nov 18 2019 22:39:19
%S A309803 -1,-17,-288,-5102,-107315,-2429223,-64002818,-2057205252,
%T A309803 -69940351581,-2788890538777,-122099137635118,-5580021752377242,
%U A309803 -276932659619923555,-15388458479166668283,-946625238259888348698,-60082571176666116692888,-4171440414742758122621945
%N A309803 a(n) is the coefficient of x^n in the polynomial Product_{i=1..n+3} (prime(i)*x-1).
%H A309803 Alexey V. Bazhin, <a href="/A309803/b309803.txt">Table of n, a(n) for n = 0..300</a>
%F A309803 a(n) = [x^n] Product_{i=1..n+3} (prime(i)*x-1).
%F A309803 a(n) = -abs(A070918(n+3,3)).
%F A309803 a(n) = -abs(A238146(n+3,n)) for n>0.
%F A309803 a(n) = -A260613(n+3,n).
%p A309803 a:= n-> coeff(mul(ithprime(i)*x-1, i=1..n+3), x, n):
%p A309803 seq(a(n), n=0..20); # _Alois P. Heinz_, Aug 19 2019
%Y A309803 Cf. A000040, A002110, A024451, A070918, A309802, A309804, A033999, A007504, A024447, A024448, A024449, A054640, A005867, A238146, A260613.
%K A309803 sign,easy
%O A309803 0,2
%A A309803 _Alexey V. Bazhin_, Aug 17 2019