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Numbers A such that the square of concatenation AA is of form NNMM.
1

%I #4 Mar 31 2012 10:26:04

%S 8,89,98,406,593,998,4445,4544,5455,5554,9899,9998,34687,44443,55556,

%T 65312,90242,99998,219374,285713,286714,296297,297296,340066,362636,

%U 363637,374219,416989,583010,625780,636362,637363,659933,702703,703702

%N Numbers A such that the square of concatenation AA is of form NNMM.

%C N and M must be of equal length, leading zeros are allowed. The corresponding values NM are in A107678.

%e 593 is in the sequence because we have 593593^2 = 352352649649; 998 is in the sequence since 998998^2 = 997997004004 (M has two leading zeros); 219374 is in the sequence since 219374219374^2 = 48125048125951876951876 (N has one leading zero).

%Y Cf. A107678, A106497.

%K nonn,base

%O 1,1

%A _Lekraj Beedassy_, May 20 2005

%E Edited, corrected and extended by _Klaus Brockhaus_, May 22 2005