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A191119 Increasing sequence generated by these rules: a(1)=1, and if x is in a then 3x-1 and 4x-3 are in a.

%I A191119 #10 Jul 13 2013 12:04:09
%S A191119 1,2,5,14,17,41,50,53,65,122,149,158,161,194,197,209,257,365,446,473,
%T A191119 482,485,581,590,593,626,629,641,770,773,785,833,1025,1094,1337,1418,
%U A191119 1445,1454,1457,1742,1769,1778,1781,1877,1886,1889,1922,1925,1937,2309,2318,2321,2354,2357,2369,2498,2501,2513,2561,3074,3077
%N A191119 Increasing sequence generated by these rules:  a(1)=1, and if x is in a then 3x-1 and 4x-3 are in a.
%C A191119 See A191113.
%H A191119 Reinhard Zumkeller, <a href="/A191119/b191119.txt">Table of n, a(n) for n = 1..10000</a>
%t A191119 h = 3; i = -1; j = 4; k = -3; f = 1; g = 9;
%t A191119 a = Union[Flatten[NestList[{h # + i, j # + k} &, f, g]]]  (* A191119 *)
%t A191119 b = (a + 1)/3; c = (a + 3)/4; r = Range[1, 1500];
%t A191119 d = Intersection[b, r] (* A191120 *)
%t A191119 e = Intersection[c, r] (* A191163 *)
%o A191119 (Haskell)
%o A191119 import Data.Set (singleton, deleteFindMin, insert)
%o A191119 a191119 n = a191119_list !! (n-1)
%o A191119 a191119_list = 1 : f (singleton 2)
%o A191119    where f s = m : (f $ insert (3*m-1) $ insert (4*m-3) s')
%o A191119              where (m, s') = deleteFindMin s
%o A191119 -- _Reinhard Zumkeller_, Jun 01 2011
%Y A191119 Cf. A191113.
%K A191119 nonn
%O A191119 1,2
%A A191119 _Clark Kimberling_, May 27 2011