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A085453 Numbers n such that n^2 and n^3 together use only distinct digits. 0
2, 3, 8, 9, 24, 69 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

There are only six such numbers (in base 10). Numbers with distinct digits in A010784. Primes with distinct digits in A029743. The case n and n^2 (exactly 22 numbers) in A059930. The case n and prime[n] (exactly 101 numbers) in A085451.

LINKS

Table of n, a(n) for n=1..6.

EXAMPLE

69 is (the last) term because 69^2=4761 and 69^3=328509 together use all 10 distinct digits.

MATHEMATICA

bb = {}; Do[idpn = IntegerDigits[n^3]; idn = IntegerDigits[n^2]; If[Length[idn] + Length[idpn] == Length[Union[idn, idpn]], bb = {bb, n}], {n, 1, 10000}]; Flatten[bb]

CROSSREFS

Cf. A010784 A029743 A059930 A085451

Sequence in context: A098506 A279090 A163168 * A271394 A030439 A119386

Adjacent sequences:  A085450 A085451 A085452 * A085454 A085455 A085456

KEYWORD

fini,full,nonn,base

AUTHOR

Zak Seidov, Jul 01 2003

STATUS

approved

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Last modified October 21 14:42 EDT 2021. Contains 348155 sequences. (Running on oeis4.)