A191139 Increasing sequence generated by these rules: a(1)=1, and if x is in a then 3x+2 and 4x-3 are in a.

1, 5, 17, 53, 65, 161, 197, 209, 257, 485, 593, 629, 641, 773, 785, 833, 1025, 1457, 1781, 1889, 1925, 1937, 2321, 2357, 2369, 2501, 2513, 2561, 3077, 3089, 3137, 3329, 4097, 4373, 5345, 5669, 5777, 5813, 5825, 6965, 7073, 7109, 7121, 7505, 7541, 7553, 7685, 7697, 7745, 9233, 9269, 9281, 9413, 9425, 9473, 9989, 10001

Offset

1,2

Comments

See A191113.

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Mathematica

h = 3; i = 2; j = 4; k = -3; f = 1; g = 9;
a = Union[Flatten[NestList[{h # + i, j # + k} &, f, g]]]   (* A191139 *)
b = (a - 2)/3; c = (a + 3)/4; r = Range[1, 1500];
d = Intersection[b, r] (* A191143 *)
e = Intersection[c, r] (* A191119 *)

Prog

(Haskell)
import Data.Set (singleton, deleteFindMin, insert)
a191139 n = a191139_list !! (n-1)
a191139_list = 1 : f (singleton 5)
   where f s = m : (f $ insert (3*m+2) $ insert (4*m-3) s')
             where (m, s') = deleteFindMin s
-- Reinhard Zumkeller, Jun 01 2011

Crossrefs

Cf. A191113.

Sequence in context: A248875 A037544 A090575 * A107167 A201478 A176470

Adjacent sequences: A191136 A191137 A191138 * A191140 A191141 A191142

Keyword

nonn

Author

Clark Kimberling, May 28 2011

Status

approved