A011538 Numbers that contain an 8.

8, 18, 28, 38, 48, 58, 68, 78, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 98, 108, 118, 128, 138, 148, 158, 168, 178, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 198, 208, 218, 228, 238, 248, 258, 268, 278, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• base
• easy

Comments

In China, numbers with many 8 digits are considered auspicious because the character for 8 (八) sounds like the character for wealth (發). - Charles R Greathouse IV, Aug 28 2012

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..3439
• Index entries for 10-automatic sequences.

Crossrefs

Supersequence of A043521.

Programs

GAP

Filtered([1..290],n->8 in ListOfDigits(n)); # Muniru A Asiru, Feb 24 2019

Magma

[n: n in [0..400] | 8 in Intseq(n) ]; // Vincenzo Librandi, Feb 15 2017

Mathematica

Select[Range[400], DigitCount[#, 10, 8]>0 &] (* Vincenzo Librandi, Feb 15 2017 *)

PARI

is(n)=!!setsearch(Set(digits(n)), 8) \\ Charles R Greathouse IV, Feb 12 2017

Python

def ok(n): return '8' in str(n)
print(list(filter(ok, range(290)))) # Michael S. Branicky, Aug 18 2021

Formula

a(n) ~ n. - Charles R Greathouse IV, Aug 28 2012