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A281148 Numbers n such that n and n^6 have no digits in common. 1
2, 3, 8, 9, 13, 14, 22, 33, 44, 52, 72, 77, 87, 92, 222, 322, 622, 7737, 7878, 30302, 44449, 72777, 844844, 44744744 (list; graph; refs; listen; history; text; internal format)
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

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Last modified January 18 03:02 EST 2022. Contains 350410 sequences. (Running on oeis4.)