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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.
8
36, 4356, 617796, 910116, 2090916, 4588164, 39463524, 88849476, 173132964, 262245636, 266146596, 1404000900, 12792967236, 1491969417444, 1842170994756, 1904449680324, 7504323317604, 11853326293956, 265272427798596
OFFSET
1,1
LINKS
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
KEYWORD
nonn,base
AUTHOR
Walter Kehowski, Feb 04 2007
STATUS
approved