A281148 Numbers k such that k and k^6 have no digits in common.

2, 3, 8, 9, 13, 14, 22, 33, 44, 52, 72, 77, 87, 92, 222, 322, 622, 7737, 7878, 30302, 44449, 72777, 844844, 44744744

Offset

1,1

Comments

0, 1, 5, 6 cannot be the last digit of any term. [0 added to list by Jon E. Schoenfield, Jan 29 2017]

The only terms with no repeated digits are 2, 3, 8, 9, 13, 14, 52, 72, 87, 92.

Links

Table of n, a(n) for n=1..24.

Example

92 is a term because 92^6 = 606355001344 has no digit 2 or 9.

Mathematica

fQ[n_] := Intersection[IntegerDigits[n], IntegerDigits[n^6]] == {}; Select[ Range@45000000, Mod[#, 5] > 1 && fQ@# &] (* Robert G. Wilson v, Jan 29 2017 *)

Prog

(PARI) isok(n) = #setintersect(Set(digits(n)), Set(digits(n^6))) == 0;

Crossrefs

Cf. A001014, A281678.

Sequence in context: A075190 A224225 A283160 * A284791 A281111 A301917

Adjacent sequences: A281145 A281146 A281147 * A281149 A281150 A281151

Keyword

nonn,base,more

Author

Robert Israel and Altug Alkan, Jan 27 2017

Status

approved