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Numbers of numbers <= n, that are squares when inserting at most one digit in decimal representation (see A157465).
4

%I #3 Mar 30 2012 18:51:04

%S 1,2,3,4,5,6,7,7,8,9,10,11,12,12,13,13,14,14,14,15,15,16,17,17,18,19,

%T 20,20,21,22,22,23,24,24,25,25,26,26,26,26,27,28,28,28,29,29,29,29,30,

%U 31,31,31,32,32,32,32,33,34,34,35,35,36,37,37,38,39,40,41,41,42,42,42,43

%N Numbers of numbers <= n, that are squares when inserting at most one digit in decimal representation (see A157465).

%C a(n) > n/2 for n <= 131;

%C a(n) <= n/2 for n > 131;

%C a(n) <= a(n+1); a(n)/n --> 0 for n --> oo;

%C a(A157465(n+1)) = a(A157465(n)) + 1.

%H R. Zumkeller, <a href="/A157466/b157466.txt">Table of n, a(n) for n = 0..10000</a>

%Y A003059, A000196, A157464.

%K base,nonn

%O 0,2

%A _Reinhard Zumkeller_, Mar 01 2009