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A113318 Numbers whose biquadrates (fourth powers) are exclusionary. 1
2, 3, 4, 7, 8, 9, 24, 27, 28, 32, 42, 52, 53, 58, 59, 67, 89, 93, 203, 258, 284, 324, 329, 832, 843, 2673 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The number m with no repeated digits has an exclusionary fourth power m^4 if the latter is made up of digits not appearing in m. Is a subsequence of A111116. Conjectured to be complete. For the corresponding exclusionary biquadrates m^4, see A113317.

REFERENCES

H. Ibstedt, Solution to Problem 2623, "Exclusionary Powers", pp. 346-9, Journal of Recreational Mathematics, Vol. 32 No.4 2003-4 Baywood NY.

LINKS

Table of n, a(n) for n=1..26.

MATHEMATICA

ebQ[n_]:=Max[DigitCount[n]]==1&&Intersection[IntegerDigits[n], IntegerDigits[ n^4]]=={}; Select[Range[3000], ebQ] (* Harvey P. Dale, Aug 21 2013 *)

CROSSREFS

Sequence in context: A059930 A125965 A111116 * A056033 A302123 A286337

Adjacent sequences:  A113315 A113316 A113317 * A113319 A113320 A113321

KEYWORD

base,nonn,fini

AUTHOR

Lekraj Beedassy, Oct 26 2005

STATUS

approved

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Last modified October 17 11:26 EDT 2019. Contains 328108 sequences. (Running on oeis4.)