

A112994


Numbers whose cubes are exclusionary: numbers n such that n and n^3 have no digits in common.


3



2, 3, 7, 8, 27, 43, 47, 48, 52, 53, 63, 68, 92, 157, 172, 187, 192, 263, 378, 408, 423, 458, 468, 478, 487, 527, 587, 608, 648, 692, 823, 843, 918, 1457, 1587, 1592, 4657, 4732, 5692, 6058, 6378, 7658
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OFFSET

1,1


COMMENTS

A number n with no repeated digits has an exclusionary cube n^3 if the latter is made up of digits not appearing in n. (This is a subsequence of A029785.) For the corresponding exclusionary cubes see A112993. Conjectured to be complete.


REFERENCES

H. Ibstedt, Solution to Problem 2623, "Exclusionary Powers", pp. 3469, Journal of Recreational Mathematics, vol. 32 No.4 20034 Baywood NY.
Clifford A. Pickover, A Passion for Mathematics, Wiley, 2005; see p. 60.


LINKS

Table of n, a(n) for n=1..42.
Clifford A. Pickover, Extreme Challenges in Mathematics and Morals


PROG

(PARI) isok(n) = my(digs = digits(n)); (#digs == #Set(digs)) && (#setintersect(Set(digs), Set(digits(n^3))) == 0); \\ Michel Marcus, Oct 26 2013


CROSSREFS

The corresponding cubes are in A112993.
Sequence in context: A206725 A129645 A324481 * A056036 A056432 A271506
Adjacent sequences: A112991 A112992 A112993 * A112995 A112996 A112997


KEYWORD

nonn,base,fini


AUTHOR

Lekraj Beedassy, Oct 13 2005


EXTENSIONS

Missing term 468 added by N. J. A. Sloane, May 22 2008


STATUS

approved



