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A235810 Numbers n such that n^3 has one or more occurrences of exactly eight different digits. 3

%I #15 Sep 08 2022 08:46:06

%S 289,297,302,319,467,494,515,557,562,595,621,623,676,682,709,712,721,

%T 862,887,909,939,945,949,963,984,987,1012,1015,1016,1025,1029,1043,

%U 1049,1065,1075,1087,1104,1106,1107,1114,1118,1132,1137,1154,1161,1167,1178

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

%H Colin Barker, <a href="/A235810/b235810.txt">Table of n, a(n) for n = 1..1000</a>

%e 289 is in the sequence because 289^3 = 24137569, which contains exactly eight different digits.

%o (PARI) s=[]; for(n=1, 1500, if(#vecsort(eval(Vec(Str(n^3))),,8)==8, s=concat(s, n))); s

%o (Python)

%o A235810_list, m = [], [6, -6, 1, 0]

%o for n in range(1,10**3+1):

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

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

%o ....if len(set(str(m[-1]))) == 8:

%o ........A235810_list.append(n) # _Chai Wah Wu_, Nov 05 2014

%o (Magma) [n: n in [0..1200] | #Set(Intseq(n^3)) eq 8]; // _Vincenzo Librandi_, Nov 07 2014

%Y Cf. A030292, A155146, A155147, A235807-A235809, A235811, A119735.

%K nonn,base

%O 1,1

%A _Colin Barker_, Jan 19 2014

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Last modified April 23 15:04 EDT 2024. Contains 371914 sequences. (Running on oeis4.)