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

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

Robert Israel, Table of n, a(n) for n = 1..10000

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))

Crossrefs

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

Sequence in context: A295667 A241763 A233579 * A004260 A129848 A004261

Adjacent sequences: A291636 A291637 A291638 * A291640 A291641 A291642

Keyword

nonn,base

Author

Colin Barker, Aug 28 2017

Status

approved