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Numbers n such that n^3 has one or more occurrences of exactly nine different digits.
5

%I #14 Dec 17 2021 13:23:23

%S 1018,1028,1112,1452,1475,1484,1531,1706,1721,1733,1818,1844,1895,

%T 1903,2008,2033,2208,2214,2217,2223,2257,2274,2277,2327,2329,2336,

%U 2354,2394,2403,2524,2525,2589,2647,2686,2691,2694,2727,2733,2784,2842,2866,2884,2890

%N Numbers n such that n^3 has one or more occurrences of exactly nine different digits.

%H Colin Barker, <a href="/A235811/b235811.txt">Table of n, a(n) for n = 1..1000</a>

%e 1018 is in the sequence because 1018^3 = 1054977832, which contains exactly nine different digits.

%t Select[Range[3000],Count[DigitCount[#^3],0]==1&] (* _Harvey P. Dale_, Dec 17 2021 *)

%o (PARI) s=[]; for(n=1, 3000, if(#vecsort(eval(Vec(Str(n^3))),,8)==9, s=concat(s, n))); s

%o (Python)

%o A235811_list, m = [], [6, -6, 1, 0]

%o for n in range(1,10**4+1):

%o ....for i in range(3):

%o ........m[i+1] += m[i]

%o ....if len(set(str(m[-1]))) == 9:

%o ........A235811_list.append(n) # _Chai Wah Wu_, Nov 05 2014

%Y Cf. A030292, A155146, A155147, A235807-A235810, A119735.

%K nonn,base

%O 1,1

%A _Colin Barker_, Jan 19 2014