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Search: id:A127856
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| A127856 |
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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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6
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| 36, 4356, 617796, 910116, 2090916, 4588164, 39463524, 88849476, 173132964, 262245636, 266146596, 1404000900, 12792967236, 1491969417444, 1842170994756, 1904449680324, 7504323317604, 11853326293956, 265272427798596
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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Max Alekseyev, Table of n, a(n) for n=1..62
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EXAMPLE
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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 (maxale(AT)gmail.com), Oct 24 2008]
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CROSSREFS
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Cf. A117755, A127857, A127858, A127859, A127860, A127861.
Sequence in context: A163034 A075415 A102794 this_sequence A127860 A068272 A068284
Adjacent sequences: A127853 A127854 A127855 this_sequence A127857 A127858 A127859
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KEYWORD
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nonn,base
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AUTHOR
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Walter A. Kehowski (wkehowski(AT)cox.net), Feb 04 2007
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