A068175 - OEIS

A068175

a(1) = 1; for n>1, a(n) is the smallest square > a(n-1) obtained by inserting digits into a(n-1).

%I #10 Dec 28 2023 14:47:34

%S 1,16,169,1369,13689,134689,13446889,1344468889,134444688889,

%T 13444446888889,1344444468888889,134444444688888889,

%U 13444444446888888889,1344444444468888888889,134444444444688888888889

%N a(1) = 1; for n>1, a(n) is the smallest square > a(n-1) obtained by inserting digits into a(n-1).

%e a(3) = 169; the smallest square obtained by inserting digits in it is 1369 hence a(4) = 1369.

%Y A067633 gives square roots.

%K base,nonn

%O 1,2

%A _Amarnath Murthy_, Feb 25 2002

%E Corrected and extended by _Ray Chandler_, Oct 11 2003