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A191117 Increasing sequence generated by these rules: a(1)=1, and if x is in a then 3x-2 and 4x+2 are in a.

%I A191117 #14 Jul 13 2013 12:04:09
%S A191117 1,6,16,26,46,66,76,106,136,186,196,226,266,306,316,406,426,546,556,
%T A191117 586,676,746,786,796,906,916,946,1066,1216,1226,1266,1276,1626,1636,
%U A191117 1666,1706,1756,2026,2186,2226,2236,2346,2356,2386,2706,2716,2746,2836,2986,3146,3186,3196,3626,3646,3666,3676,3786,3796,3826
%N A191117 Increasing sequence generated by these rules:  a(1)=1, and if x is in a then 3x-2 and 4x+2 are in a.
%C A191117 See A191113.
%H A191117 Reinhard Zumkeller, <a href="/A191117/b191117.txt">Table of n, a(n) for n = 1..10000</a>
%t A191117 h = 3; i = -2; j = 4; k = 2; f = 1; g = 9;
%t A191117 a = Union[Flatten[NestList[{h # + i, j # + k} &, f, g]]]  (* A191117 *)
%t A191117 b = (a + 2)/3; c = (a - 2)/4; r = Range[1, 1500];
%t A191117 d = Intersection[b, r] (* A191157 *)
%t A191117 e = Intersection[c, r] (* A191158 *)
%t A191117 m = (a + 4)/10  (* divisibility property *)
%o A191117 (Haskell)
%o A191117 import Data.Set (singleton, deleteFindMin, insert)
%o A191117 a191117 n = a191117_list !! (n-1)
%o A191117 a191117_list = 1 : f (singleton 6)
%o A191117    where f s = m : (f $ insert (3*m-2) $ insert (4*m+2) s')
%o A191117              where (m, s') = deleteFindMin s
%o A191117 -- _Reinhard Zumkeller_, Jun 01 2011
%Y A191117 Cf. A191113.
%K A191117 nonn
%O A191117 1,2
%A A191117 _Clark Kimberling_, May 27 2011