%I #17 Dec 02 2015 11:23:42
%S 4,25,159,531,3101,24903,243740,433129,2703038,21046245,53478992,
%T 292123372,2164833445,21425610902,48888908358,192151648872,
%U 477890021223,2279013856319,19998940546342,46961100477911,72630984382646,259140398165389,1861711571434526,14850553878036591,56672657547446354,303286443000496342,2448230500494961492,4821616822771036069,24316253937847771953
%N Square root of concatenation(A090566(n), A090566(n+1)).
%C Sequence A090566 lists the smallest integer larger than the preceding term such that their concatenation is a square. This sequence lists the square root of these squares.
%C The initial term a(0)=1 corresponds to the natural extension A090566(0):=0 (or an "empty" A090566(0)).
%C Sequence A082210 is the analog of this corresponding to the variant A082209 of A090566.
%H David W. Wilson, <a href="/A264775/b264775.txt">Table of n, a(n) for n = 1..1839</a>
%Y Cf. A090566; A082210, A082209.
%K nonn,base
%O 1,1
%A _M. F. Hasler_, Nov 24 2015