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Zeroless numbers n such that n^3 contains a 0.
0

%I #9 Jul 10 2015 01:30:31

%S 16,22,34,37,42,43,47,48,52,59,63,67,69,73,74,79,84,86,87,89,93,94,99,

%T 112,115,116,117,118,123,124,126,127,128,131,134,135,138,141,143,145,

%U 149,152,159,163,164,169,171,172,174,182,184,187,192,193,194,199,214,216

%N Zeroless numbers n such that n^3 contains a 0.

%e 16 does not contain a 0 and 16^3 = 4096 contains a 0. Thus, 16 is a member of this sequence.

%o (Python)

%o {print(n) for n in range(10**3) if str(n).count("0")==0 and str(n**3).count("0")>0}

%o (PARI) is(n)=Set(digits(n))[1] && Set(digits(n^3))[1]==0 \\ _Charles R Greathouse IV_, Jul 10 2015

%Y Subsequence of A242214.

%Y Cf. A052382 (zeroless numbers), A134843.

%K nonn,base

%O 1,1

%A _Derek Orr_, May 17 2014