A235811 Numbers n such that n^3 has one or more occurrences of exactly nine different digits.

1018, 1028, 1112, 1452, 1475, 1484, 1531, 1706, 1721, 1733, 1818, 1844, 1895, 1903, 2008, 2033, 2208, 2214, 2217, 2223, 2257, 2274, 2277, 2327, 2329, 2336, 2354, 2394, 2403, 2524, 2525, 2589, 2647, 2686, 2691, 2694, 2727, 2733, 2784, 2842, 2866, 2884, 2890

Offset: 1

Author

Colin Barker, Jan 19 2014

Keywords

• nonn
• base

Examples

			1018 is in the sequence because 1018^3 = 1054977832, which contains exactly nine different digits.
		

Links

• Colin Barker, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A030292, A155146, A155147, A235807-A235810, A119735.

Programs

Mathematica

Select[Range[3000],Count[DigitCount[#^3],0]==1&] (* Harvey P. Dale, Dec 17 2021 *)

PARI

s=[]; for(n=1, 3000, if(#vecsort(eval(Vec(Str(n^3))),,8)==9, s=concat(s, n))); s

Python

A235811_list, m = [], [6, -6, 1, 0]
for n in range(1,10**4+1):
    for i in range(3):
        m[i+1] += m[i]
    if len(set(str(m[-1]))) == 9:
        A235811_list.append(n) # Chai Wah Wu, Nov 05 2014