A242559 Zeroless numbers n such that n^3 contains a 0.
16, 22, 34, 37, 42, 43, 47, 48, 52, 59, 63, 67, 69, 73, 74, 79, 84, 86, 87, 89, 93, 94, 99, 112, 115, 116, 117, 118, 123, 124, 126, 127, 128, 131, 134, 135, 138, 141, 143, 145, 149, 152, 159, 163, 164, 169, 171, 172, 174, 182, 184, 187, 192, 193, 194, 199, 214, 216
Offset: 1
Examples
16 does not contain a 0 and 16^3 = 4096 contains a 0. Thus, 16 is a member of this sequence.
Programs
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PARI
is(n)=Set(digits(n))[1] && Set(digits(n^3))[1]==0 \\ Charles R Greathouse IV, Jul 10 2015
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Python
{print(n) for n in range(10**3) if str(n).count("0")==0 and str(n**3).count("0")>0}