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

1,1

Links

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

Example

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

Mathematica

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

Prog

(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

Crossrefs

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

Sequence in context: A213314 A054035 A087837 * A051982 A210139 A245206

Adjacent sequences: A235808 A235809 A235810 * A235812 A235813 A235814

Keyword

nonn,base

Author

Colin Barker, Jan 19 2014

Status

approved