

A061277


Numbers which have more different digits than their squares.


1



109, 173, 235, 264, 1049, 1235, 1485, 1489, 1490, 1498, 1703, 1730, 1823, 1834, 2107, 2108, 2350, 2357, 2435, 2538, 2581, 2640, 2830, 2978, 2980, 2983, 3114, 3148, 3157, 3408, 4827, 5162, 5470, 5480, 5962
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OFFSET

1,1


COMMENTS

The sequence is infinite since for every element k with '0' as last digit or no '0' at all every k*10^m is also in it.


LINKS

Table of n, a(n) for n=1..35.


EXAMPLE

3114 is okay, since it has three different digits while 3114^2 = 9696996 has only two.


MATHEMATICA

Select[Range[6000], Count[DigitCount[#], 0]<Count[DigitCount[#^2], 0]&] (* Harvey P. Dale, Jul 19 2019 *)


PROG

(PARI) isok(n) = length(Set(digits(n, 10))) > length(Set(digits(n^2, 10))) \\ Michel Marcus, Jul 22 2013


CROSSREFS

Sequence in context: A141948 A102908 A141998 * A142945 A142079 A142224
Adjacent sequences: A061274 A061275 A061276 * A061278 A061279 A061280


KEYWORD

nonn,base


AUTHOR

Ulrich Schimke (ulrschimke(AT)aol.com)


STATUS

approved



