The On-Line Encyclopedia of Integer Sequences (OEIS)

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A090075

(Presumed) number of palindromes in the Reverse and Add! trajectory of 10^n.
(history; published version)

#5 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

#4 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

#3 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

#2 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

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

NAME

(Presumed) number of palindromes in the Reverse and Add! trajectory of 10^n.

DATA

11, 9, 8, 9, 12, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11

OFFSET

0,1

COMMENTS

The absolute maximum 12 at n = 4 and a(n) = 11 for n > 5 support the conjecture (cf. A077594) that there is no positive integer whose trajectory contains more than twelve palindromes.

The last palindrome in the Reverse and Add! trajectory of 10^n is given in A090074.

LINKS

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

CROSSREFS

Cf. A065001, A070742, A077594, A090069, A090070, A090071, A090072, A090074.

KEYWORD

nonn,base

AUTHOR

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

STATUS

approved