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Positive integers n such that if n is a square, then so is r(n), where r(n) is the nonnegative integer defined by cyclic replacement of the digits d of n in base 12, that is, d->d+1 if d<11 and d->0 if d=11.
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%I #6 Mar 31 2012 14:39:48

%S 36,4356,617796,910116,2090916,4588164,39463524,88849476,173132964,

%T 262245636,266146596,1404000900,12792967236,1491969417444,

%U 1842170994756,1904449680324,7504323317604,11853326293956,265272427798596

%N Positive integers n such that if n is a square, then so is r(n), where r(n) is the nonnegative integer defined by cyclic replacement of the digits d of n in base 12, that is, d->d+1 if d<11 and d->0 if d=11.

%H Max Alekseyev, <a href="/A127856/b127856.txt">Table of n, a(n) for n=1..62</a>

%e a(1)=36 since 36=30 in base 12 and r(30)=41=7^2.

%e The only known element starting with the base-12 digit 11 (i.e., turning into a smaller square under the cyclic increments of the digits) is 549014564071245547886724. [From _Max Alekseyev_, Oct 24 2008]

%Y Cf. A117755, A127857, A127858, A127859, A127860, A127861.

%K nonn,base

%O 1,1

%A _Walter Kehowski_, Feb 04 2007