A171491 Natural numbers not divisible by their number of decimal digits.

11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 100, 101, 103, 104, 106, 107, 109, 110, 112, 113, 115, 116, 118, 119, 121, 122, 124, 125

Offset: 1

Author

Jaroslav Krizek, Dec 10 2009

Keywords

• nonn
• base
• changed

Comments

Complement of A098952.

Asymptotic density 1. - Charles R Greathouse IV, Nov 13 2010

Examples

			100 has three digits and is not divisible by 3, therefore 100 is in the sequence.
		

Links

• Michael S. Branicky, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A098952.

Programs

Magma

[n: n in [1..140] | not IsIntegral(n/#Intseq(n))]; // Bruno Berselli, Feb 09 2016

Mathematica

Select[Range[150],!Divisible[#,IntegerLength[#]]&]  (* Harvey P. Dale, Apr 24 2011 *)

Python

def ok(n): return n%len(str(n))
print([k for k in range(142) if ok(k)]) # Michael S. Branicky, Feb 07 2022