

A117755


Squares which remain squares when each digit is replaced by the next digit.


8



9, 25, 2025, 13225, 1974025, 4862025, 6943225, 60415182025, 207612366025, 916408817340025, 9960302475729225, 153668543313582025, 1978088677245614025, 13876266042653742025, 20761288044852366025
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OFFSET

1,1


COMMENTS

Replace 1 with 2, 2 with 3, ..., 8 with 9 and 9 with 0.


LINKS

Max Alekseyev, Table of n, a(n) for n = 1..20


EXAMPLE

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.


MATHEMATICA

Select[Range[500000]^2, IntegerQ[(FromDigits[((1 + IntegerDigits[ # ]) /. 10> 0])^1/2 &] (* Harvey P. Dale, Jan 21 2007 *)


CROSSREFS

Sequence in context: A228465 A048056 A038534 * A144114 A209969 A144701
Adjacent sequences: A117752 A117753 A117754 * A117756 A117757 A117758


KEYWORD

base,nonn


AUTHOR

Luc Stevens (lms022(AT)yahoo.com), Apr 14 2006


EXTENSIONS

More terms from Harvey P. Dale, Jan 21 2007
3 more terms from Donovan Johnson, Apr 03 2008
a(13)a(20) from Max Alekseyev, Oct 22 2008


STATUS

approved



