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A291639
Numbers k such that 0 is the smallest decimal digit of k^3.
7
10, 16, 20, 22, 30, 34, 37, 40, 42, 43, 47, 48, 50, 52, 59, 60, 63, 67, 69, 70, 73, 74, 79, 80, 84, 86, 87, 89, 90, 93, 94, 99, 100, 101, 102, 103, 106, 107, 109, 110, 112, 115, 116, 117, 118, 120, 123, 124, 126, 127, 128, 130, 131, 134, 135, 138, 140, 141
OFFSET
1,1
COMMENTS
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
Also contains A008592, and has asymptotic density 1. - Robert Israel, Aug 29 2017
LINKS
EXAMPLE
16 is in the sequence because 16^3 = 4096, the smallest decimal digit of which is 0.
MAPLE
select(n -> min(convert(n^3, base, 10))=0, [$1..1000]); # Robert Israel, Aug 29 2017
PROG
(PARI) select(k->vecmin(digits(k^3))==0, vector(500, k, k))
KEYWORD
nonn,base
AUTHOR
Colin Barker, Aug 28 2017
STATUS
approved