A359105 - OEIS

A359105

Numbers k such that each digit from 0 to 9 appears in either k^2 or k^3, but not in both.

69, 1633, 2244, 2303, 3379, 6603, 31563

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OFFSET

1,1

COMMENTS

Any subsequent terms are > 10^11. - Lucas A. Brown, Jan 02 2023

LINKS

Table of n, a(n) for n=1..7.

EXAMPLE

1633 is a term of the sequence because 1633^2=2666689, having digits: 2,6,8,9 and 1633^3=4354703137, having digits 0,1,3,4,5,7.

PROG

(PARI) for(n=2, 10^10, if(#setintersect(Set(digits(n^2)), Set(digits(n^3)))==0 && #setunion(Set(digits(n^2)), Set(digits(n^3)))==10, print1(n, ", ")));

(PARI) isok(k) = my(s2=Set(digits(k^2)), s3=Set(digits(k^3))); (#setintersect(s2, s3)==0) && (#setunion(s2, s3)==10); \\ Michel Marcus, Dec 20 2022

CROSSREFS

Subsequence of A029787.

Sequence in context: A264283 A333034 A200826 * A133708 A253334 A017785

Adjacent sequences: A359102 A359103 A359104 * A359106 A359107 A359108

KEYWORD

nonn,base,more

AUTHOR

Alexandru Petrescu, Dec 18 2022

STATUS

approved