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Let f(1) = 1 + i (where i denotes the imaginary unit) and for n > 0, f(n+1) is the Gaussian prime in the first quadrant (with positive real part and nonnegative imaginary part) with least modulus that divides 1 + Product_{k=1..n} f(k) (in case of a tie minimize the imaginary part); a(n) is the imaginary part of f(n).
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%I #5 Oct 08 2018 08:07:42

%S 1,1,3,0,20,5,4,15910,2,2,1,2,6,81598,5,366,588,5,202,111603136724,

%T 104,13,246202,0,61,492,

%U 439943534049216658488928456219783705840806353246605875

%N Let f(1) = 1 + i (where i denotes the imaginary unit) and for n > 0, f(n+1) is the Gaussian prime in the first quadrant (with positive real part and nonnegative imaginary part) with least modulus that divides 1 + Product_{k=1..n} f(k) (in case of a tie minimize the imaginary part); a(n) is the imaginary part of f(n).

%C See A319920 for the square of the modulus of f and additional comments.

%Y Cf. A319920.

%K nonn

%O 1,3

%A _Rémy Sigrist_, Oct 06 2018