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Search: id:A084007
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A084007 a(n) = A084006(n)^(1/2). +0
5
6, 9, 33, 66, 99, 333, 666, 999, 3333, 6666, 9999, 33333, 66666, 99999, 333333, 666666, 999999, 3333333, 6666666, 9999999, 33333333, 66666666, 99999999, 333333333, 444444444, 555555555, 666666666, 777777777, 888888888, 999999999 (list; graph; listen)
OFFSET

0,1

FORMULA

Pattern exhibited by early terms does not continue without interruption. First disruption occurs at a(25)=444444444. Terms with k-digits exhibit the earlier pattern where (10^k-1)/9 is square-free, and k=9 is the first occurrence where (10^k-1)/9 is not square-free. Others occur at k=18, 22, 27, 36, 42, 44, 45. - Ray Chandler (rayjchandler(AT)sbcglobal.net), Aug 04 2003

CROSSREFS

Cf. A084004, A084005, A084006.

Sequence in context: A091519 A086491 A105866 this_sequence A046634 A025628 A100096

Adjacent sequences: A084004 A084005 A084006 this_sequence A084008 A084009 A084010

KEYWORD

base,nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.comandmenakan_s(AT)yahoo.com), May 23 2003

EXTENSIONS

More terms from Ray Chandler (rayjchandler(AT)sbcglobal.net), May 31 2003

More terms from Ray Chandler (rayjchandler(AT)sbcglobal.net), Aug 04 2003

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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