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%I #8 Oct 04 2018 10:45:00
%S 3,8,14,19,23,27,32,38,43,47,51,56,62,67,71,75,81,86,91,95,99,104,110,
%T 116,122,127,131,135,141,146,151,155,159,164,170,176,182,187,191,195,
%U 201,206,211,215,219,224,230,236,242,247,251,255,261,266,271,275
%N Trajectory of 3 under repeated application of the map: n -> n + third-smallest number that does not divide n.
%t Join[{3},NestList[#+Complement[Range[#],Divisors[#]][[3]]&,8,50]] (* _Harvey P. Dale_, Apr 04 2015 *)
%o (PARI) third(n) = {my(nb = 0, k = 1); while (nb != 3, if (n % k, nb++); if (nb != 3, k++);); k;}
%o f(n) = n + third(n);
%o lista3(nn) = {a = 3; print1(a, ", "); for (n=2, nn, newa = f(a); print1(newa, ", "); a = f(a););} \\ _Michel Marcus_, Oct 04 2018
%Y Cf. A140485, A140486, A140487, A140488, A140489 (second-smallest sequences).
%Y Cf. A140490, A140491, A140493, A140494 (third-smallest sequences).
%K nonn
%O 1,1
%A _Jacques Tramu_, Jun 25 2008
%E More terms from _Harvey P. Dale_, Apr 04 2015
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