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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. 5
1, 2, 5, 14, 17, 41, 50, 53, 65, 122, 149, 158, 161, 194, 197, 209, 257, 365, 446, 473, 482, 485, 581, 590, 593, 626, 629, 641, 770, 773, 785, 833, 1025, 1094, 1337, 1418, 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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A191113.

LINKS

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

MATHEMATICA

h = 3; i = -1; j = 4; k = -3; f = 1; g = 9;

a = Union[Flatten[NestList[{h # + i, j # + k} &, f, g]]]  (* A191119 *)

b = (a + 1)/3; c = (a + 3)/4; r = Range[1, 1500];

d = Intersection[b, r] (* A191120 *)

e = Intersection[c, r] (* A191163 *)

PROG

(Haskell)

import Data.Set (singleton, deleteFindMin, insert)

a191119 n = a191119_list !! (n-1)

a191119_list = 1 : f (singleton 2)

   where f s = m : (f $ insert (3*m-1) $ insert (4*m-3) s')

             where (m, s') = deleteFindMin s

-- Reinhard Zumkeller, Jun 01 2011

CROSSREFS

Cf. A191113.

Sequence in context: A046058 A137271 A131356 * A089410 A118670 A228958

Adjacent sequences:  A191116 A191117 A191118 * A191120 A191121 A191122

KEYWORD

nonn

AUTHOR

Clark Kimberling, May 27 2011

STATUS

approved

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Last modified June 2 10:12 EDT 2020. Contains 334769 sequences. (Running on oeis4.)