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Revision History for A244323 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

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Iterates of A234742, starting from value a(0) = 23, with a(1) = A234742(a(0)), a(2) = A234742(a(1)), etc.
(history; published version)
#10 by N. J. A. Sloane at Thu Aug 06 07:36:11 EDT 2015
STATUS

proposed

approved

#9 by Antti Karttunen at Wed Aug 05 04:59:19 EDT 2015
STATUS

editing

proposed

#8 by Antti Karttunen at Wed Aug 05 03:34:10 EDT 2015
CROSSREFS

Cf. A234742, A235033, A235035, A260712, A260713, A260716.

Cf. also A260729, A260735, A260441 (other such iterations).

STATUS

approved

editing

#7 by N. J. A. Sloane at Wed Jul 23 10:25:41 EDT 2014
STATUS

proposed

approved

#6 by Antti Karttunen at Wed Jul 23 10:23:04 EDT 2014
STATUS

editing

proposed

#5 by Antti Karttunen at Wed Jul 23 10:22:19 EDT 2014
PROG

iterates_of_A234742(start, filename) = {my(n=start, prev=-1, prevprev=-1, i=0); until((n==prevprev), write(filename, i, " ", n); prevprev = prev; prev = n; n = A234742(n); i++)} \\ Computes b-fle file up to the second occurrence of the fixed point.

#4 by Antti Karttunen at Wed Jul 23 10:20:12 EDT 2014
LINKS

Antti Karttunen, <a href="/A244323/b244323.txt">Table of n, a(n) for n = 0..56</a>

Discussion
Wed Jul 23
10:21
Antti Karttunen: Zero is a natural starting offset for this, as then term a(n) = A234742^(n) (23).
(Where the "zero-th power" of A234742, A234742^0 is the identity function).
#3 by Antti Karttunen at Wed Jul 23 10:17:51 EDT 2014
NAME

Iterates of A234742, starting from value a(0) = 23, with a(1) = A234742(a(0)), a(2) = A234742(a(1)), etc.

COMMENTS

Starting from 23, we get the The sequence: 23, 39, 99, 279, 775, 1271, 3003, 26411, 45059, ... which reaches its fixed point, at a(55) = 3643749709604450870616156947649219, after 55 iterations, after which the sequence stays constant, a(55) = a(56) = a(57), etc.

PROG

iterates_of_A234742(start, filename) = {my(n=start, prev=-1, prevprev=-1, i=0); until((n==prevprev), write(filename, i, " ", n); prevprev = prev; prev = n; n = A234742(n); i++)} \\ Computes b-fle up to the second occurrence of the fixed point.

Discussion
Wed Jul 23
10:19
Antti Karttunen: I included  M. F. Hasler as an author, based on his Feb 18 2014 comment in A234742.
(And also I'm using his pari-code for A234742).
#2 by Antti Karttunen at Wed Jul 23 10:15:01 EDT 2014
NAME

allocated for Antti KarttunenIterates of A234742, starting value a(0) = 23, a(1) = A234742(a(0)), a(2) = A234742(a(1)), etc.

DATA

23, 39, 99, 279, 775, 1271, 3003, 26411, 45059, 53219, 96811, 180063, 538083, 1557987, 2994571, 5394027, 76600323, 78603291, 646326135, 5260930155, 11705029515, 55771437087, 918661840551, 2662267345431, 156054629431431, 1885162669463151, 2739827178329319, 23916267980687775, 343334160580618935

OFFSET

0,1

COMMENTS

Starting from 23, we get the sequence: 23, 39, 99, 279, 775, 1271, 3003, 26411, 45059, ... which reaches its fixed point, a(55) = 3643749709604450870616156947649219, after 55 iterations, after which the sequence stays constant, a(55) = a(56) = a(57), etc.

PROG

(PARI)

A234742(n)=factorback(subst(lift(factor(Mod(1, 2)*Pol(binary(n)))), x, 2))+(n==1)

iterates_of_A234742(start, filename) = {my(n=start, prev=-1, prevprev=-1, i=0); until((n==prevprev), write(filename, i, " ", n); prevprev = prev; prev = n; n = A234742(n); i++)}

iterates_of_A234742(23, "b244323.txt")

CROSSREFS
KEYWORD

allocated

nonn

AUTHOR

Antti Karttunen and M. F. Hasler, Jul 23 2014

STATUS

approved

editing

#1 by Antti Karttunen at Wed Jun 25 17:39:06 EDT 2014
NAME

allocated for Antti Karttunen

KEYWORD

allocated

STATUS

approved