A127856 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.

36, 4356, 617796, 910116, 2090916, 4588164, 39463524, 88849476, 173132964, 262245636, 266146596, 1404000900, 12792967236, 1491969417444, 1842170994756, 1904449680324, 7504323317604, 11853326293956, 265272427798596

Offset

1,1

Links

Max Alekseyev, Table of n, a(n) for n=1..62

Example

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

Crossrefs

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

Sequence in context: A187405 A102794 A075415 * A127860 A189148 A270506

Adjacent sequences: A127853 A127854 A127855 * A127857 A127858 A127859

Keyword

nonn,base

Author

Walter Kehowski, Feb 04 2007

Status

approved