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A113952 Largest exclusionary n-th power (or 0 if no such number exists). 1
408540845584, 449103134312, 51050010415041, 0, 606355001344, 60170087060757, 66045000696445844586496, 0, 3570467226624, 743008370688, 16777216, 0, 9012061295995008299689, 0, 1853020188851841, 0, 0, 1162261467, 1099511627776 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

COMMENTS

An exclusionary n-th power m^n is one made up of digits not appearing in the root m which itself consists of distinct digits. For the corresponding root m, see A113951. 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..20.

EXAMPLE

a(10)=3570467226624 because it shares no digit in common with its 10-th root 18 and no number with distinct digits greater than 18 exhibits such property.

CROSSREFS

Cf. A112735, A112993, A113317.

Sequence in context: A080132 A080122 A082411 * A218865 A209833 A239921

Adjacent sequences:  A113949 A113950 A113951 * A113953 A113954 A113955

KEYWORD

base,nonn,fini

AUTHOR

Lekraj Beedassy, Nov 09 2005

STATUS

approved

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Last modified September 19 18:34 EDT 2014. Contains 246978 sequences.