A052044 - OEIS

A052044

Numbers k such that k^3 lacks the digit zero in its decimal expansion.

1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 17, 18, 19, 21, 23, 24, 25, 26, 27, 28, 29, 31, 32, 33, 35, 36, 38, 39, 41, 44, 45, 46, 49, 51, 53, 54, 55, 56, 57, 58, 61, 62, 64, 65, 66, 68, 71, 72, 75, 76, 77, 78, 81, 82, 83, 85, 88, 91, 92, 95, 96, 97, 98, 104, 105, 108, 111

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

This sequence is infinite since A052427 is a subsequence. - Amiram Eldar, Nov 23 2020

LINKS

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Rémy Sigrist, Logarithmic scatterplot of (n, a(n+1)-a(n)) for n = 1..1000000

FORMULA

a(n) = A052045(n)^(1/3). - Amiram Eldar, Nov 23 2020

MATHEMATICA

Select[Range[120], DigitCount[#^3, 10, 0]==0&] (* Harvey P. Dale, Oct 24 2011 *)