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A127858 Positive integers n such that r(n^2)=r(n)^2, where r is the cyclic replacement map of the digits d of n in base 12, that is, d->d+1 if d<11 and d->0 if d=11. 6

%I

%S 6,66,786,9426,113106,1357266,16287186,195446226,2345354706,

%T 28144256466,337731077586,4052772931026,48633275172306,

%U 583599302067666,7003191624811986,84038299497743826,1008459593972925906

%N Positive integers n such that r(n^2)=r(n)^2, where r is the cyclic replacement map of the digits d of n in base 12, that is, d->d+1 if d<11 and d->0 if d=11.

%C In base 12 the sequence is 6, 56, 556, 5556, 55556, 555556, 5555556, 55555556, 555555556, 5555555556. If r is the cyclic replacement map in base 10, then the only positive integers n with the property that r(n^2)=r(n)^2 appear to be 5, 45 since, for example, r(45^2)=r(2025)=3136=56^2=r(45)^2.

%e a(2)=66 since, in base 12, 66=56, r(56)=67 and r(56^2)=r(2630)=3741=67^2.

%Y Cf. A117755, A127856, A127857, A127859, A127860, A127861.

%K fini,nonn,base

%O 1,1

%A _Walter Kehowski_, Feb 04 2007

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Last modified August 10 22:36 EDT 2022. Contains 356046 sequences. (Running on oeis4.)