A235810 Numbers n such that n^3 has one or more occurrences of exactly eight different digits.

289, 297, 302, 319, 467, 494, 515, 557, 562, 595, 621, 623, 676, 682, 709, 712, 721, 862, 887, 909, 939, 945, 949, 963, 984, 987, 1012, 1015, 1016, 1025, 1029, 1043, 1049, 1065, 1075, 1087, 1104, 1106, 1107, 1114, 1118, 1132, 1137, 1154, 1161, 1167, 1178

Offset

1,1

Links

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

Example

289 is in the sequence because 289^3 = 24137569, which contains exactly eight different digits.

Prog

(PARI) s=[]; for(n=1, 1500, if(#vecsort(eval(Vec(Str(n^3))), , 8)==8, s=concat(s, n))); s
(Python)
A235810_list, m = [], [6, -6, 1, 0]
for n in range(1, 10**3+1):
....for i in range(3):
........m[i+1] += m[i]
....if len(set(str(m[-1]))) == 8:
........A235810_list.append(n) # Chai Wah Wu, Nov 05 2014
(Magma) [n: n in [0..1200] | #Set(Intseq(n^3)) eq 8]; // Vincenzo Librandi, Nov 07 2014

Crossrefs

Cf. A030292, A155146, A155147, A235807-A235809, A235811, A119735.

Sequence in context: A221203 A188367 A184046 * A229906 A008367 A287934

Adjacent sequences: A235807 A235808 A235809 * A235811 A235812 A235813

Keyword

nonn,base

Author

Colin Barker, Jan 19 2014

Status

approved