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Search: id:A117755
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| A117755 |
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Squares which remain squares when each digit is replaced by the next digit. |
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+0
7
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| 9, 25, 2025, 13225, 1974025, 4862025, 6943225, 60415182025, 207612366025, 916408817340025, 9960302475729225, 153668543313582025, 1978088677245614025, 13876266042653742025, 20761288044852366025
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Replace 1 by 2, 2 by 3,..., 8 by 9 and 9 by 0.
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LINKS
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Max Alekseyev, Table of n, a(n) for n=1..20
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EXAMPLE
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13225 is in the sequence because (1) it is a square and (2)if we transform it we get 24336 and this is also a square
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MATHEMATICA
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Select[Range[500000]^2, IntegerQ[(FromDigits[((1 + IntegerDigits[ # ]) /. 10-> 0])^1/2 &] - Harvey P. Dale (hpd1(AT)nyu.edu), Jan 21 2007
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CROSSREFS
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Sequence in context: A013397 A048056 A038534 this_sequence A144701 A022421 A075395
Adjacent sequences: A117752 A117753 A117754 this_sequence A117756 A117757 A117758
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KEYWORD
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base,nonn,new
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AUTHOR
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Luc Stevens (lms022(AT)yahoo.com), Apr 14 2006
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EXTENSIONS
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More terms from Harvey P. Dale (hpd1(AT)nyu.edu), Jan 21 2007
3 more terms from Donovan Johnson (donovan.johnson(AT)yahoo.com), Apr 03 2008
a(13)..a(20) and b-file from Max Alekseyev (maxal(AT)cs.ucsd.edu), Oct 22 2008
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