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A112736 Numbers whose square is exclusionary. 6
2, 3, 4, 7, 8, 9, 17, 18, 24, 29, 34, 38, 39, 47, 53, 54, 57, 58, 59, 62, 67, 72, 79, 84, 92, 94, 157, 158, 173, 187, 192, 194, 209, 237, 238, 247, 253, 257, 259, 307, 314, 349, 359, 409, 437, 459, 467, 547, 567, 612, 638, 659, 672, 673, 689, 712, 729, 738, 739, 749 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The number m with no repeated digits has an exclusionary square m^2 if the latter is made up of digits not appearing in m. For the corresponding exclusionary squares see A112735.

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

Giovanni Resta, Table of n, a(n) for n = 1..142 (full sequence)

MATHEMATICA

Select[Range[1000], Intersection[IntegerDigits[ # ], IntegerDigits[ #^2]] == {} && Length[Union[IntegerDigits[ # ]]] == Length[IntegerDigits[ # ]] &] - Tanya Khovanova, Dec 25 2006

CROSSREFS

Cf. A112321.

This is a subsequence of A029783 (Digits of n are not present in n^2) of numbers with all different digits. The sequence A059930 (Numbers n such that n and n^2 combined use different digits) is a subsequence of this sequence.

Sequence in context: A058075 A243495 A029783 * A059930 A125965 A111116

Adjacent sequences:  A112733 A112734 A112735 * A112737 A112738 A112739

KEYWORD

nonn,base,fini,full

AUTHOR

Lekraj Beedassy, Sep 16 2005

EXTENSIONS

More terms from Tanya Khovanova, Dec 25 2006

STATUS

approved

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Last modified January 20 14:40 EST 2019. Contains 319333 sequences. (Running on oeis4.)