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Search: id:A106497
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A106497 Numbers whose square is the concatenation of two identical numbers, i.e. of form NN. +0
44
36363636364, 45454545455, 54545454546, 63636363637, 72727272728, 81818181819, 90909090910, 428571428571428571429, 571428571428571428572, 714285714285714285715, 857142857142857142858 (list; graph; listen)
OFFSET

1,1

COMMENT

For the corresponding numbers N see A102567.

Numbers of the form j*(10^d+1)/k where 10^d+1 == 0 (mod k^2) and k/sqrt(10) < j < k. - David W. Wilson (davidwwilson(AT)comcast.net), Nov 09 2006

LINKS

David W. Wilson, Table of n, a(n) for n = 1..1098

EXAMPLE

63636363637 is in the sequence because 63636363637^2 = 4049586776940495867769 is 40495867769 written twice.

CROSSREFS

Sequence in context: A115502 A022262 A116279 this_sequence A038832 A038821 A139780

Adjacent sequences: A106494 A106495 A106496 this_sequence A106498 A106499 A106500

KEYWORD

base,nonn

AUTHOR

Lekraj Beedassy (blekraj(AT)yahoo.com), May 04 2005

EXTENSIONS

a(7) from Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), May 06 2005

More terms from David W. Wilson (davidwwilson(AT)comcast.net), Nov 05 2006

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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