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%I #8 Sep 25 2018 11:05:44
%S 1,1,2,2,3,1,2,1,2,4,4,3,3,6,5,2,4,1,3,6,4,5,1,2,3,4,8,6,5,4,3,6,3,2,
%T 7,5,1,7,2,4,3,5,10,8,6,7,1,2,5,6,12,8,4,8,7,1,9,7,2,4,9,4,8,1,5,10,9,
%U 9,3,7,7,14,10,6,8,6,10,2,9,2,4,5,7,14
%N Let f(1) = 1, f(2) = 1 + i (where i denotes the imaginary unit), and for n > 1, f(n+1) is the Gaussian integer in the first quadrant (with positive real part and nonnegative imaginary part) with least modulus and sharing a prime factor with f(n) (in case of a tie, minimize the imaginary part); a(n) = the real part of f(n).
%C See A319561 for the square of the modulus of f and additional comments.
%H Rémy Sigrist, <a href="/A319562/b319562.txt">Table of n, a(n) for n = 1..10000</a>
%H Rémy Sigrist, <a href="/A319562/a319562.gp.txt">PARI program for A319562</a>
%o (PARI) See Links section.
%Y Cf. A319561.
%K nonn
%O 1,3
%A _Rémy Sigrist_, Sep 23 2018
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