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Revision History for A090064 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

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Numbers n such that there are (presumably) three palindromes in the Reverse and Add! trajectory of n.
(history; published version)
#9 by N. J. A. Sloane at Sat Nov 30 11:47:52 EST 2013
STATUS

proposed

approved

#8 by Michel Marcus at Sat Nov 30 08:13:09 EST 2013
STATUS

editing

proposed

#7 by Michel Marcus at Sat Nov 30 08:13:03 EST 2013
EXAMPLE

The trajectory of 113 begins 113, 424, 848, 1696, 8657, 16225, 68486, 136972, 416603, ...; at 416603 it joins the (presumably) palindrome-free trajectory of A063048(16) = 10735, hence 424, 848 and 68486 are the three palindromes in the trajectory of 113 and 113 is a term.

trajectory of 113 and 113 is a term.

STATUS

approved

editing

Discussion
Sat Nov 30
08:13
Michel Marcus: Joined line to paragraph.
#6 by Russ Cox at Fri Mar 30 17:27:41 EDT 2012
AUTHOR

_Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), _, Nov 20 2003

Discussion
Fri Mar 30
17:27
OEIS Server: https://oeis.org/edit/global/145
#5 by Russ Cox at Sun Jul 10 18:23:10 EDT 2011
LINKS

<a href="/Sindx_index/Res.html#RAA">Index entries for sequences related to Reverse and Add!</a>

Discussion
Sun Jul 10
18:23
OEIS Server: https://oeis.org/edit/global/78
#4 by N. J. A. Sloane at Thu Nov 11 07:34:06 EST 2010
LINKS

<a href="/Sindx_Res.html#RAA">Index entries for sequences related to Reverse and Add!</a>

KEYWORD

nonn,base,new

#3 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009
LINKS

<a href="http://www.research.att.com/~njas/sequences/Sindx_Res.html#RAA">Index entries for sequences related to Reverse and Add!</a>

KEYWORD

nonn,base,new

#2 by N. J. A. Sloane at Wed Sep 22 03:00:00 EDT 2004
NAME

There Numbers n such that there are (presumably) three palindromes in the Reverse and Add! trajectory of n.

KEYWORD

nonn,base,new

#1 by N. J. A. Sloane at Thu Feb 19 03:00:00 EST 2004
NAME

There are (presumably) three palindromes in the Reverse and Add! trajectory of n.

DATA

18, 27, 36, 45, 54, 63, 69, 72, 78, 81, 87, 90, 96, 99, 113, 125, 126, 128, 137, 146, 149, 156, 157, 162, 163, 165, 168, 169, 172, 175, 180, 183, 188, 189, 193, 194, 195, 197, 220, 224, 225, 227, 232, 236, 242, 245, 248, 252, 255, 256, 259, 261, 264, 267, 268

OFFSET

1,1

COMMENTS

For terms < 2000 each palindrome is reached from the preceding one or from the start in at most 24 steps; after the presumably last one no further palindrome is reached in 2000 steps.

LINKS

<a href="http://www.research.att.com/~njas/sequences/Sindx_Res.html#RAA">Index entries for sequences related to Reverse and Add!</a>

EXAMPLE

The trajectory of 113 begins 113, 424, 848, 1696, 8657, 16225, 68486, 136972, 416603, ...; at 416603 it joins the (presumably) palindrome-free trajectory of A063048(16) = 10735, hence 424, 848 and 68486 are the three palindromes in the

trajectory of 113 and 113 is a term.

CROSSREFS
KEYWORD

nonn,base

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Nov 20 2003

STATUS

approved