The On-Line Encyclopedia of Integer Sequences (OEIS)

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A133901

Numbers in A128921 whose square is not a palindrome.
(history; published version)

#3 by Russ Cox at Fri Mar 30 17:27:54 EDT 2012

AUTHOR

_Klaus Brockhaus (klaus-brockhaus(AT)t-online.de) _ and Zak Seidov, Sep 29 2007

Discussion

Fri Mar 30

17:27

OEIS Server: https://oeis.org/edit/global/145

#2 by Russ Cox at Fri Mar 30 17:26:23 EDT 2012

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de) and _Zak Seidov (zakseidov(AT)yahoo.com), _, Sep 29 2007

Discussion

Fri Mar 30

17:26

OEIS Server: https://oeis.org/edit/global/139

#1 by N. J. A. Sloane at Sat Nov 10 03:00:00 EST 2007

NAME

Numbers in A128921 whose square is not a palindrome.

DATA

33, 99, 1119111, 10110901101, 11110901111, 101109901101, 1011109011101, 1110109010111, 10111099011101, 100110090011001, 100111090111001, 101011090110101, 111001090100111

OFFSET

1,1

COMMENTS

Also terms of A128921 that do not consist completely of digits 0, 1, 2, however excluding A128921(4) = 3.

Conjecture: Sequence is infinite.

EXAMPLE

A128921(41) = 1119111, 1119111^2 = 1252409430321 is not a palindrome, but its reverse is also a square: 1230349042521 = 1109211^2.

CROSSREFS

Cf. A128921 (palindromes p such that reverse of p^2 is also a square), A002113 (palindromes in base 10), A057135 (palindromes whose square is a palindrome), A057136 (palindromes whose square root is a palindrome).

KEYWORD

nonn,base

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de) and Zak Seidov (zakseidov(AT)yahoo.com), Sep 29 2007

STATUS

approved