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%I #15 Jan 05 2023 18:59:39
%S 32043,100287,317096,1000287,3162426,10000287,31622792,100000287,
%T 316227814,1000000287,3162277718,10000000287,31622776661,100000000287,
%U 316227766026,1000000000287,3162277660177,10000000000287,31622776601685,100000000000287,316227766016843
%N Square roots of least pandigital squares with n digits.
%C Pandigital squares are perfect squares containing each digit from 0 to 9 at least once.
%F a(n) = sqrt(A359342(n)).
%F If n is odd, a(n) = 10^((n-1)/2) + 287. - _Robert Israel_, Dec 29 2022
%F a(n) = 10^((n-1)/2) + O(1). - _Charles R Greathouse IV_, Dec 30 2022
%p f:= proc(n); local k;
%p for k from ceil(10^((n-1)/2)) do
%p if convert(convert(k^2,base,10),set) = {$0..9} then return k fi
%p od
%p end proc:
%p map(f, [$10..30]); # _Robert Israel_, Dec 29 2022
%o (Python)
%o from math import isqrt
%o def c(n): return len(set(str(n))) == 10
%o def a(n): return next((k for k in range(isqrt(10**(n-1))+1, isqrt(10**n-1)+1) if c(k*k)), None)
%o print([a(n) for n in range(10, 31)]) # _Michael S. Branicky_, Dec 27 2022
%Y Cf. A359342, A359345.
%K nonn,base
%O 10,1
%A _Martin Renner_, Dec 27 2022
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