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A117755 Squares which remain squares when each digit is replaced by the next digit. 10
0, 9, 25, 2025, 13225, 1974025, 4862025, 6943225, 60415182025, 207612366025, 916408817340025, 9960302475729225, 153668543313582025, 1978088677245614025, 13876266042653742025, 20761288044852366025, 47285734107144405625, 406066810454367265225 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Replace 1 with 2, 2 with 3, ..., 8 with 9 and 9 with 0.
LINKS
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 * A352788 A144114 A209969
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(14)-a(21) from Max Alekseyev, Oct 22 2008
a(1) = 0 prepended by Max Alekseyev, Jul 26 2023
STATUS
approved

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Last modified March 28 16:34 EDT 2024. Contains 371254 sequences. (Running on oeis4.)