A191141 Increasing sequence generated by these rules: a(1)=1, and if x is in a then 3x+2 and 4x-1 are in a.

1, 3, 5, 11, 17, 19, 35, 43, 53, 59, 67, 75, 107, 131, 139, 161, 171, 179, 203, 211, 227, 235, 267, 299, 323, 395, 419, 427, 485, 515, 523, 539, 555, 611, 635, 643, 683, 707, 715, 803, 811, 843, 899, 907, 939, 971, 1067, 1187, 1195, 1259, 1283, 1291, 1457, 1547, 1571, 1579, 1619, 1667, 1675, 1707, 1835, 1907, 1931, 1939, 2051

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 = -1; f = 1; g = 9;
a = Union[Flatten[NestList[{h # + i, j # + k} &, f, g]]]  (* A191141 *)
b = (a - 2)/3; c = (a + 1)/4; r = Range[1, 1500];
d = Intersection[b, r] (* A191206 *)
e = Intersection[c, r] (* A191207 *)

Prog

(Haskell)
import Data.Set (singleton, deleteFindMin, insert)
a191141 n = a191141_list !! (n-1)
a191141_list = f $ singleton 1
   where f s = m : (f $ insert (3*m+2) $ insert (4*m-1) s')
             where (m, s') = deleteFindMin s
-- Reinhard Zumkeller, Jun 01 2011

Crossrefs

Cf. A191113.

Sequence in context: A214296 A045409 A191206 * A268155 A199217 A141165

Adjacent sequences: A191138 A191139 A191140 * A191142 A191143 A191144

Keyword

nonn

Author

Clark Kimberling, May 28 2011

Status

approved