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A235723 Squares which have one or more occurrences of exactly eight different digits. 4

%I #15 Apr 18 2017 16:16:05

%S 10278436,10673289,10679824,10837264,13498276,13527684,13675204,

%T 13860729,13942756,16378209,16785409,17280649,17430625,19847025,

%U 20584369,20738916,21307456,21473956,21743569,23078416,23174596,23970816,24137569,24671089,24870169,28901376

%N Squares which have one or more occurrences of exactly eight different digits.

%C The first term having a repeated digit is 101465329.

%H Colin Barker, <a href="/A235723/b235723.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) = A054036(n)^2.

%e 10278436 is in the sequence because 10278436 = 3206^2 and 10278436 contains exactly eight different digits: 0, 1, 2, 3, 4, 6, 7 and 8.

%o (PARI) s=[]; for(n=1, 10000, if(#vecsort(eval(Vec(Str(n^2))),,8)==8, s=concat(s, n^2))); s

%Y Cf. A235717-A235722, A235724, A225218.

%K nonn,base

%O 1,1

%A _Colin Barker_, Jan 15 2014

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Last modified April 19 06:44 EDT 2024. Contains 371782 sequences. (Running on oeis4.)