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Numbers n such that digits of n are not present in n^8.
2

%I #11 Jan 08 2015 17:37:05

%S 3,4,8,9,22,33,43,54,59,73,222,233,353,712,777,22224

%N Numbers n such that digits of n are not present in n^8.

%C a(17) > 10^9.

%e 4^8 = 65536 which does not contain the digit 4.

%t a253606[n_] := Block[{f},

%t f[x_] := MemberQ[IntegerDigits[x^8], #] & /@ IntegerDigits[x];

%t Select[Range@n, DeleteDuplicates@f[#] == {False} &]]; a253606[10^5] (* _Michael De Vlieger_, Jan 06 2015 *)

%o (Python)

%o A253606_list = [n for n in range(1,10**6) if set(str(n)) & set(str(n**8)) == set()]

%Y Cf. A111116, A253577.

%K nonn,base,more

%O 1,1

%A _Chai Wah Wu_, Jan 05 2015

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Last modified September 22 19:13 EDT 2024. Contains 376138 sequences. (Running on oeis4.)