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A111116 Numbers n such that digits of n are not present in n^4. 7
2, 3, 4, 7, 8, 9, 24, 27, 28, 32, 33, 42, 52, 53, 58, 59, 67, 77, 88, 89, 93, 202, 203, 258, 284, 303, 324, 329, 377, 383, 422, 669, 818, 832, 843, 878, 882, 887, 949, 2027, 2042, 2673, 3144, 3222, 3253, 3302, 3308, 3737, 3773, 3953, 3979, 3983, 4779, 5353, 5669 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The number of k-digit numbers for which this occurs is: 6,15,18,32,21,14,20,...

LINKS

Chai Wah Wu, Table of n, a(n) for n = 1..136

FORMULA

Intersection( the digits of A000027, the digits of A000583) is null.

MATHEMATICA

Select[Range[6000], Intersection[IntegerDigits[ # ], IntegerDigits[ #^4]] == {} &] (*Chandler*)

fQ[n_] := Intersection[ Union[ IntegerDigits[n]], Union[ IntegerDigits[n^4]]] == {}; Select[ Range[ 5887], fQ[ # ] &] (* Robert G. Wilson v *)

PROG

(Python)

A111116_list = [n for n in range(1, 10**6) if set(str(n)) & set(str(n**4)) == set()]

# Chai Wah Wu, Jan 05 2015

CROSSREFS

Cf. A029783, A029785.

For the corresponding n^4, see A113316.

Sequence in context: A112736 A059930 A125965 * A113318 A056033 A047547

Adjacent sequences:  A111113 A111114 A111115 * A111117 A111118 A111119

KEYWORD

base,nonn

AUTHOR

Lekraj Beedassy, Oct 15 2005

EXTENSIONS

Corrected and extended by Robert G. Wilson v and Ray Chandler, Oct 17 2005

STATUS

approved

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Last modified April 28 00:46 EDT 2017. Contains 285556 sequences.