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A235810
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Numbers n such that n^3 has one or more occurrences of exactly eight different digits.
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3
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289, 297, 302, 319, 467, 494, 515, 557, 562, 595, 621, 623, 676, 682, 709, 712, 721, 862, 887, 909, 939, 945, 949, 963, 984, 987, 1012, 1015, 1016, 1025, 1029, 1043, 1049, 1065, 1075, 1087, 1104, 1106, 1107, 1114, 1118, 1132, 1137, 1154, 1161, 1167, 1178
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OFFSET
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1,1
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LINKS
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EXAMPLE
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289 is in the sequence because 289^3 = 24137569, which contains exactly eight different digits.
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PROG
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(PARI) s=[]; for(n=1, 1500, if(#vecsort(eval(Vec(Str(n^3))), , 8)==8, s=concat(s, n))); s
(Python)
A235810_list, m = [], [6, -6, 1, 0]
for n in range(1, 10**3+1):
....for i in range(3):
........m[i+1] += m[i]
....if len(set(str(m[-1]))) == 8:
(Magma) [n: n in [0..1200] | #Set(Intseq(n^3)) eq 8]; // Vincenzo Librandi, Nov 07 2014
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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