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A079036 Squares of these numbers have all their digits occurring in groups of 2 or more, without ending in zero. 3

%I #10 Sep 07 2018 17:37:45

%S 88,74162,105462,2973962,31500088,2366406812,4715270688,21186201038,

%T 81445482588,94245717262,94277380462,814454814312,878141979162,

%U 2579792842738,3339943529162,5744665119912,10490710229162,10546200105462,10950910657262,23577201339312

%N Squares of these numbers have all their digits occurring in groups of 2 or more, without ending in zero.

%C A larger example is given by 939269775530142412^2 = 882227711224444113355445577001177744. The sequence is infinite, since it contains the numbers (10^k+1)*74162 and (10^k+1)*105462 for any k>=13. - _Giovanni Resta_, Sep 20 2006

%H Giovanni Resta, <a href="/A079036/b079036.txt">Table of n, a(n) for n = 1..76</a> (terms < 10^19)

%H Frank Rubin, <a href="http://www.contestcen.com/powers.htm">Repeated Digits</a>.

%e a(2) = 74162 because 74162^2 = 5500002244 consists of a group of 2 5's, followed by a group of 4 0's, then 2 2's and finally 2 4's.

%Y Cf. A079035, A033023.

%K nonn,base

%O 1,1

%A Sudipta Das (juitech(AT)vsnl.net), Feb 01 2003

%E More terms from _Giovanni Resta_, Sep 20 2006

%E More terms from _Giovanni Resta_, Sep 06 2018

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