cp's OEIS Frontend

A225218 Square numbers containing all the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

%I A225218 #34 Dec 27 2022 10:51:43
%S A225218 1026753849,1042385796,1098524736,1237069584,1248703569,1278563049,
%T A225218 1285437609,1382054976,1436789025,1503267984,1532487609,1547320896,
%U A225218 1643897025,1827049536,1927385604,1937408256,2076351489,2081549376,2170348569,2386517904,2431870596
%N A225218 Square numbers containing all the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.
%C A225218 The first term having a repeated digit is 10057482369. - _Colin Barker_, Jan 15 2014
%H A225218 Reiner Moewald, <a href="/A225218/b225218.txt">Table of n, a(n) for n = 1..4865</a>
%F A225218 a(n) = A054038(n)^2. - _Colin Barker_, Jan 15 2014
%e A225218 1026753849 is in the sequence because 1026753849 = 32043^2 and 1026753849 contains all ten digits 0, ..., 9.
%t A225218 Select[#^2 &[Range[1000000]], Length[Union[IntegerDigits[#]]] == 10 &] (* _Geoffrey Critzer_, Jan 04 2015 *)
%o A225218 (PARI) s=[]; for(n=1, 100000, if(#vecsort(eval(Vec(Str(n^2))), , 8)==10, s=concat(s, n^2))); s \\ _Colin Barker_, Jan 15 2014
%o A225218 (Python)
%o A225218 from itertools import count, islice
%o A225218 def c(n): return len(set(str(n))) == 10
%o A225218 def agen(): yield from (k*k for k in count(31622) if c(k*k))
%o A225218 print(list(islice(agen(), 21))) # _Michael S. Branicky_, Dec 27 2022
%Y A225218 Supersequence of A036745.
%Y A225218 Cf. A235717-A235724.
%K A225218 nonn,base
%O A225218 1,1
%A A225218 _Reiner Moewald_, May 02 2013