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%I #21 Nov 20 2016 11:28:59
%S 0,10,101,100,10006,950005,1001,9569005,100105,100500,1000,95370001,
%T 1000201,102100005,9957800,100006,9500005,1100005,100100,1010005,
%U 10001,10000096,10005005,1000105,1001005,999578000,1002600005,12500100,100010505,1050500005,1000500
%N Least number k such that k^2 can be obtained from k by inserting internal (but not necessarily contiguous) digits in n different ways.
%C a(6) = 1001.
%H Lars Blomberg, <a href="/A277442/b277442.txt">Table of n, a(n) for n = 0..157</a>
%e a(2) = 101 as 101 is the least number that can be modified in two different ways in order to become its square; i.e., 101^2 equals 10201, which can be represented as 1(02)01 or 10(20)1.
%e a(5) = 950005 because 950005^2 = 902509500025 can be represented in 5 ways: 9(02)5(095)000(2)5, 9(02)50(95)0(0)0(2)5, 9(02)50(95)00(02)5, 9(02)50(950)00(2)5, 9(02509)5000(2)5.
%Y Cf. A046851, A277441.
%K base,nonn
%O 0,2
%A _Ivan N. Ianakiev_, Oct 15 2016
%E Terms a(5), a(7) and beyond from _Lars Blomberg_, Nov 20 2016