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A291639 Numbers k such that 0 is the smallest decimal digit of k^3. 7

%I #13 Aug 29 2017 03:23:11

%S 10,16,20,22,30,34,37,40,42,43,47,48,50,52,59,60,63,67,69,70,73,74,79,

%T 80,84,86,87,89,90,93,94,99,100,101,102,103,106,107,109,110,112,115,

%U 116,117,118,120,123,124,126,127,128,130,131,134,135,138,140,141

%N Numbers k such that 0 is the smallest decimal digit of k^3.

%C The sequence is infinite. For example, A062397(i) is in the sequence for any i > 1, since A168575(i) contains the digit 0 for any i > 1. - _Felix Fröhlich_, Aug 28 2017

%C Also contains A008592, and has asymptotic density 1. - _Robert Israel_, Aug 29 2017

%H Robert Israel, <a href="/A291639/b291639.txt">Table of n, a(n) for n = 1..10000</a>

%e 16 is in the sequence because 16^3 = 4096, the smallest decimal digit of which is 0.

%p select(n -> min(convert(n^3,base,10))=0, [$1..1000]); # _Robert Israel_, Aug 29 2017

%o (PARI) select(k->vecmin(digits(k^3))==0, vector(500, k, k))

%Y Cf. A008592, A062397, A168575, A291640, A291641, A291642, A291643, A291644.

%K nonn,base

%O 1,1

%A _Colin Barker_, Aug 28 2017

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Last modified March 29 07:27 EDT 2024. Contains 371265 sequences. (Running on oeis4.)