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A305734 Integers m such that m, m^2 and m^3 are all distinct-digit numbers. 0
0, 1, 2, 3, 4, 5, 6, 8, 9, 13, 16, 17, 18, 19, 24, 27, 29, 32, 59, 69, 73, 84, 93, 203, 289, 302 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

m must be <= 2154, since for m > 2154, m^3 has more than 10 digits and thus at least one digit in m^3 is repeated. - Felix Fröhlich, Jun 22 2018

LINKS

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

EXAMPLE

{289, 289^2, 289^3} = {289, 83521, 24137569},

{302, 302^2, 302^3} = {302, 91204, 27543608}.

PROG

(PARI) is(n) = vecsort(digits(n))==vecsort(digits(n), , 8) && vecsort(digits(n^2))==vecsort(digits(n^2), , 8) && vecsort(digits(n^3))==vecsort(digits(n^3), , 8) \\ Felix Fröhlich, Jun 22 2018

CROSSREFS

Cf. A010784.

Sequence in context: A276765 A121644 A259623 * A002242 A317676 A039125

Adjacent sequences:  A305731 A305732 A305733 * A305735 A305736 A305737

KEYWORD

nonn,base,fini,full

AUTHOR

Zak Seidov, Jun 22 2018

STATUS

approved

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Last modified March 5 16:55 EST 2021. Contains 341827 sequences. (Running on oeis4.)