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A190804 Increasing sequence generated by these rules:  a(1)=1, and if x is in a then 2x-1 and 3x are in a. 4
1, 3, 5, 9, 15, 17, 27, 29, 33, 45, 51, 53, 57, 65, 81, 87, 89, 99, 101, 105, 113, 129, 135, 153, 159, 161, 171, 173, 177, 195, 197, 201, 209, 225, 243, 257, 261, 267, 269, 297, 303, 305, 315, 317, 321, 339, 341, 345, 353, 387, 389, 393, 401, 405, 417, 449 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A190803.

LINKS

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

MATHEMATICA

h = 2; i = -1; j = 3; k = 0; f = 1; g = 10 ;

a = Union[Flatten[NestList[{h # + i, j # + k} &, f, g]]]  (* A190804 *)

b = (a + 1)/2; c = a/3; r = Range[1, 500];

d = Intersection[b, r] (* A190803 conjectured *)

e = Intersection[c, r] (* A190844 *)

PROG

import Data.Set (singleton, deleteFindMin, insert)

a190804 n = a190804_list !! (n-1)

a190804_list = 1 : f (singleton 3)

   where f s = m : (f $ insert (2*m-1) $ insert (3*m) s')

             where (m, s') = deleteFindMin s

-- Reinhard Zumkeller, Jun 01 2011

CROSSREFS

Cf. A190803.

Sequence in context: A174688 A143512 A111249 * A100812 A274432 A190939

Adjacent sequences:  A190801 A190802 A190803 * A190805 A190806 A190807

KEYWORD

nonn

AUTHOR

Clark Kimberling, May 20 2011

EXTENSIONS

a(56) = 449 inserted by Reinhard Zumkeller, Jun 01 2011

STATUS

approved

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Last modified January 22 22:16 EST 2020. Contains 331166 sequences. (Running on oeis4.)