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A113951 Largest number whose n-th power is exclusionary (or 0 if no such number exists). 2
639172, 7658, 2673, 0, 92, 93, 712, 0, 18, 12, 4, 0, 37, 0, 9, 0, 0, 3, 4, 0, 7, 2, 7, 0, 8, 3, 9, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

COMMENTS

The number m with no repeated digits has an exclusionary n-th power m^n if the latter is made up of digits not appearing in m. For the corresponding m^n see A113952. In principle, no exclusionary n-th power exists for n=1(mod 4)=A016813.

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=2..42.

EXAMPLE

a(4)=2673 because no number with distinct digits beyond 2673 has a 4th power that shares no digit in common with it (see A111116). Here we have 2673^4=51050010415041.

CROSSREFS

Cf. A109135; A112736, A112994, A113318.

Sequence in context: A250674 A210142 A183745 * A257194 A257187 A254987

Adjacent sequences:  A113948 A113949 A113950 * A113952 A113953 A113954

KEYWORD

base,nonn

AUTHOR

Lekraj Beedassy, Nov 09 2005

STATUS

approved

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Last modified September 26 05:09 EDT 2017. Contains 292502 sequences.