A235807 Numbers n such that n^3 has one or more occurrences of exactly five different digits.

22, 24, 27, 29, 32, 35, 38, 41, 47, 48, 49, 51, 52, 54, 55, 57, 61, 63, 65, 71, 72, 82, 85, 87, 89, 94, 96, 102, 103, 104, 105, 108, 109, 119, 120, 123, 125, 126, 127, 130, 133, 134, 136, 137, 138, 141, 143, 144, 149, 152, 153, 154, 155, 158, 162, 165, 167

Offset: 1

Author

Colin Barker, Jan 19 2014

Keywords

• nonn
• base

Examples

			22 is in the sequence because 22^3 = 10648, which contains exactly five different digits: 0, 1, 4, 6, 8.
87 is in the sequence because 87^3 = 658503, which contains exactly five different digits: 0, 3, 5, 6, 8.
		

Links

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

Crossrefs

Cf. A030292, A155146, A155147, A235808-A235811, A119735.

Programs

Magma

[n: n in [0..200] | #Set(Intseq(n^3)) eq 5]; // Bruno Berselli, Jan 19 2014

Mathematica

Select[Range[200], Length[Union[IntegerDigits[#^3]]] == 5 &] (* Bruno Berselli, Jan 19 2014 *)

PARI

s=[]; for(n=1, 200, if(#vecsort(eval(Vec(Str(n^3))),,8)==5, s=concat(s, n))); s

Python

A235807_list, m = [], [6, -6, 1, 0]
for n in range(1,10**5+1):
    for i in range(3):
        m[i+1] += m[i]
    if len(set(str(m[-1]))) == 5:
        A235807_list.append(n) # Chai Wah Wu, Nov 05 2014