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Revision History for A190808 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

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Increasing sequence generated by these rules: a(1)=1, and if x is in a then 2x and 3x+1 are in a.
(history; published version)
#10 by Charles R Greathouse IV at Sat Jul 13 12:04:09 EDT 2013
LINKS

_Reinhard Zumkeller_, , <a href="/A190808/b190808.txt">Table of n, a(n) for n = 1..10000</a>

Discussion
Sat Jul 13
12:04
OEIS Server: https://oeis.org/edit/global/1934
#9 by N. J. A. Sloane at Fri Feb 22 21:38:40 EST 2013
LINKS

_Reinhard Zumkeller, _, <a href="/A190808/b190808.txt">Table of n, a(n) for n = 1..10000</a>

PROG

-- _Reinhard Zumkeller, _, Jun 01 2011

Discussion
Fri Feb 22
21:38
OEIS Server: https://oeis.org/edit/global/1866
#8 by Russ Cox at Fri Mar 30 18:57:29 EDT 2012
AUTHOR

_Clark Kimberling (ck6(AT)evansville.edu), _, May 20 2011

Discussion
Fri Mar 30
18:57
OEIS Server: https://oeis.org/edit/global/285
#7 by Russ Cox at Fri Mar 30 18:51:07 EDT 2012
EXTENSIONS

a(55)=224 inserted by _Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), _, Jun 01 2011

Discussion
Fri Mar 30
18:51
OEIS Server: https://oeis.org/edit/global/246
#6 by Joerg Arndt at Thu Jun 02 03:59:00 EDT 2011
STATUS

proposed

approved

#5 by Reinhard Zumkeller at Wed Jun 01 20:08:04 EDT 2011
DATA

1, 2, 4, 7, 8, 13, 14, 16, 22, 25, 26, 28, 32, 40, 43, 44, 49, 50, 52, 56, 64, 67, 76, 79, 80, 85, 86, 88, 97, 98, 100, 104, 112, 121, 128, 130, 133, 134, 148, 151, 152, 157, 158, 160, 169, 170, 172, 176, 193, 194, 196, 200, 202, 208, 224, 229, 238, 241, 242, 256, 259, 260, 265, 266, 268, 292, 295, 296

LINKS

Reinhard Zumkeller, <a href="/A190808/b190808.txt">Table of n, a(n) for n = 1..10000</a>

PROG

(Haskell)

import Data.Set (singleton, deleteFindMin, insert)

a190808 n = a190808_list !! (n-1)

a190808_list = f $ singleton 1

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

where (m, s') = deleteFindMin s

-- Reinhard Zumkeller, Jun 01 2011

EXTENSIONS

a(55)=224 inserted by Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 01 2011

STATUS

approved

proposed

Discussion
Wed Jun 01
20:09
Reinhard Zumkeller: a(33) = 112, therefore 2*112 = 224 is a term.
#4 by T. D. Noe at Wed May 25 17:59:34 EDT 2011
STATUS

proposed

approved

#3 by Clark Kimberling at Wed May 25 14:42:46 EDT 2011
MATHEMATICA

h = 2; i = 0; j = 3; k = 1; f = 1; g = 9 ;

a = Union[Flatten[NestList[{h # + i, j # + k} &, f, 7g]]] (* A190808 *)

b = a/2; c = (a - 1)/3; r = Range[1, 900];

d = Intersection[b, r] (* A190851 *)

e = Intersection[c, r] (* A190852 *)

CROSSREFS
#2 by Clark Kimberling at Fri May 20 19:14:08 EDT 2011
NAME

allocated for Clark KimberlingIncreasing sequence generated by these rules: a(1)=1, and if x is in a then 2x and 3x+1 are in a.

DATA

1, 2, 4, 7, 8, 13, 14, 16, 22, 25, 26, 28, 32, 40, 43, 44, 49, 50, 52, 56, 64, 67, 76, 79, 80, 85, 86, 88, 97, 98, 100, 104, 112, 121, 128, 130, 133, 134, 148, 151, 152, 157, 158, 160, 169, 170, 172, 176, 193, 194, 196, 200, 202, 208, 229, 238, 241, 242, 256, 259, 260, 265, 266, 268, 292, 295, 296

OFFSET

1,2

COMMENTS

See A190803.

MATHEMATICA

h = 2; i = 0; j = 3; k = 1; f = 1;

a = Union[Flatten[NestList[{h # + i, j # + k} &, f, 7]]]

CROSSREFS

Cf. A190803.

KEYWORD

allocated

nonn

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu), May 20 2011

STATUS

approved

proposed

#1 by Clark Kimberling at Fri May 20 18:40:02 EDT 2011
NAME

allocated for Clark Kimberling

KEYWORD

allocated

STATUS

approved