

A171491


Natural numbers not divisible by their number of decimal digits.


3



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
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OFFSET

1,1


COMMENTS

Complement of A098952.
Asymptotic density 1. [Charles R Greathouse IV, Nov 13 2010]


LINKS

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


EXAMPLE

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


MATHEMATICA

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


PROG

(Magma) [n: n in [1..140]  not IsIntegral(n/#Intseq(n))]; // Bruno Berselli, Feb 09 2016
(Python)
def ok(n): return n%len(str(n)) == 0
print([k for k in range(142) if ok(k)]) # Michael S. Branicky, Feb 07 2022


CROSSREFS

Sequence in context: A358270 A358076 A292513 * A277268 A337254 A152200
Adjacent sequences: A171488 A171489 A171490 * A171492 A171493 A171494


KEYWORD

nonn,base


AUTHOR

Jaroslav Krizek, Dec 10 2009


STATUS

approved



