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A167039 Squares that remain squares when prefixed with a 5. 1

%I

%S 625,62500,6250000,58140625,625000000,5814062500,6703515625,

%T 62500000000,581406250000,670351562500,6250000000000,58140625000000

%N Squares that remain squares when prefixed with a 5.

%C Numbers s of A000290 such that 5*10^A055642(s)+s is also in A000290.

%e 625 = 25^2 is a square and becomes the square 5625 = 75^2 if a 5 is attached in front of its decimal representation.

%p P:=proc(i) local a,n; for n from 1 by 1 to i do a:=5*10^floor(1+log10(n^2))+n^2; if a=trunc(sqrt(a))^2 then print(n^2); fi; od; end: P(1000000000000); [From _Paolo P. Lava_, Nov 02 2009]

%K nonn,base

%O 1,1

%A _Claudio Meller_, Oct 27 2009

%E Keyword:base added by _R. J. Mathar_, Oct 28 2009

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Last modified May 23 14:51 EDT 2013. Contains 225607 sequences.