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A309803 a(n) is the coefficient of x^n in the polynomial Product_{i=1..n+3} (prime(i)*x-1). 3

%I #22 Nov 18 2019 22:39:19

%S -1,-17,-288,-5102,-107315,-2429223,-64002818,-2057205252,

%T -69940351581,-2788890538777,-122099137635118,-5580021752377242,

%U -276932659619923555,-15388458479166668283,-946625238259888348698,-60082571176666116692888,-4171440414742758122621945

%N a(n) is the coefficient of x^n in the polynomial Product_{i=1..n+3} (prime(i)*x-1).

%H Alexey V. Bazhin, <a href="/A309803/b309803.txt">Table of n, a(n) for n = 0..300</a>

%F a(n) = [x^n] Product_{i=1..n+3} (prime(i)*x-1).

%F a(n) = -abs(A070918(n+3,3)).

%F a(n) = -abs(A238146(n+3,n)) for n>0.

%F a(n) = -A260613(n+3,n).

%p a:= n-> coeff(mul(ithprime(i)*x-1, i=1..n+3), x, n):

%p seq(a(n), n=0..20); # _Alois P. Heinz_, Aug 19 2019

%Y Cf. A000040, A002110, A024451, A070918, A309802, A309804, A033999, A007504, A024447, A024448, A024449, A054640, A005867, A238146, A260613.

%K sign,easy

%O 0,2

%A _Alexey V. Bazhin_, Aug 17 2019

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Last modified May 10 08:52 EDT 2024. Contains 372373 sequences. (Running on oeis4.)