A242214 Numbers n not divisible by 10 such that n^3 contains at least one 0.

16, 22, 34, 37, 42, 43, 47, 48, 52, 59, 63, 67, 69, 73, 74, 79, 84, 86, 87, 89, 93, 94, 99, 101, 102, 103, 106, 107, 109, 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

Offset: 1

Author

Derek Orr, May 07 2014

Keywords

• nonn
• base
• less

Comments

n^3 may contain one or more zeros. - Harvey P. Dale, Oct 03 2016

Examples

			16 is not divisible by 10 and 16^3 = 4096, which contains a 0. Thus, 16 is a member of this sequence.
		

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..2500

Crossrefs

Cf. A134843.

Programs

Mathematica

Select[Range[200],Mod[#,10]!=0&&DigitCount[#^3,10,0]>0&] (* Harvey P. Dale, Oct 03 2016 *)

PARI

isok(n) = (n % 10) && (vecmin(digits(n^3)) == 0); \\ Michel Marcus, May 10 2014

Python

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

Extensions

Definition clarified by Harvey P. Dale, Oct 03 2016