cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A117755 Squares which remain squares when each digit is replaced by the next digit.

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%I A117755 #23 Jun 07 2025 05:21:54
%S A117755 0,9,25,2025,13225,1974025,4862025,6943225,60415182025,207612366025,
%T A117755 916408817340025,9960302475729225,153668543313582025,
%U A117755 1978088677245614025,13876266042653742025,20761288044852366025,47285734107144405625,406066810454367265225
%N A117755 Squares which remain squares when each digit is replaced by the next digit.
%C A117755 Replace 1 with 2, 2 with 3, ..., 8 with 9 and 9 with 0.
%H A117755 Max Alekseyev, <a href="/A117755/b117755.txt">Table of n, a(n) for n = 1..22</a>
%e A117755 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.
%t A117755 Select[Range[0, 500000]^2, IntegerQ[Sqrt[FromDigits[(1 + IntegerDigits[ # ]) /. 10-> 0]]] &] (* _Harvey P. Dale_, Jan 21 2007 *)
%Y A117755 Cf. A048379, A061843, A061844, A127856.
%K A117755 base,nonn
%O A117755 1,2
%A A117755 Luc Stevens (lms022(AT)yahoo.com), Apr 14 2006
%E A117755 More terms from _Harvey P. Dale_, Jan 21 2007
%E A117755 3 more terms from _Donovan Johnson_, Apr 03 2008
%E A117755 a(14)-a(21) from _Max Alekseyev_, Oct 22 2008
%E A117755 a(1) = 0 prepended by _Max Alekseyev_, Jul 26 2023