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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
6, 66, 786, 9426, 113106, 1357266, 16287186, 195446226, 2345354706, 28144256466, 337731077586, 4052772931026, 48633275172306, 583599302067666, 7003191624811986, 84038299497743826, 1008459593972925906 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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.

LINKS

Table of n, a(n) for n=1..17.

EXAMPLE

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

CROSSREFS

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

Sequence in context: A247740 A253621 A127857 * A173535 A267141 A004355

Adjacent sequences:  A127855 A127856 A127857 * A127859 A127860 A127861

KEYWORD

fini,nonn,base

AUTHOR

Walter Kehowski, Feb 04 2007

STATUS

approved

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Last modified June 26 10:53 EDT 2022. Contains 354881 sequences. (Running on oeis4.)