A309803 - OEIS

A309803

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

-1, -17, -288, -5102, -107315, -2429223, -64002818, -2057205252, -69940351581, -2788890538777, -122099137635118, -5580021752377242, -276932659619923555, -15388458479166668283, -946625238259888348698, -60082571176666116692888, -4171440414742758122621945

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OFFSET

0,2

LINKS

Alexey V. Bazhin, Table of n, a(n) for n = 0..300

FORMULA

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

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

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

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

MAPLE

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