A007958 Even numbers with at least one odd digit.

10, 12, 14, 16, 18, 30, 32, 34, 36, 38, 50, 52, 54, 56, 58, 70, 72, 74, 76, 78, 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, 110, 112, 114, 116, 118, 120, 122, 124, 126, 128, 130, 132, 134, 136, 138, 140, 142, 144, 146, 148, 150, 152, 154, 156, 158, 160, 162

Offset: 1

Author

R. Muller

Keywords

• nonn
• base
• easy

Comments

Old name was: Even numbers such that some permutation of digits is an odd number.

a(n) = A179083(n) for n <= 30. - Reinhard Zumkeller, Jun 28 2010

Links

• Michael S. Branicky, Table of n, a(n) for n = 1..10000
• F. Smarandache, Only Problems, Not Solutions!
• Index entries for 10-automatic sequences.

Programs

Mathematica

Select[2*Range[100],Or@@OddQ[IntegerDigits[#]]&] (* Harvey P. Dale, Apr 01 2013 *)

PARI

is(n)=n%2==0 && vecsum(Set(digits(n)%2)) \\ Charles R Greathouse IV, Oct 23 2015

Python

def ok(n): return n%2 == 0 and set(str(n)) & set("13579") != set()
print(list(filter(ok, range(163)))) # Michael S. Branicky, Oct 12 2021

Formula

a(n) ~ 2n. - Charles R Greathouse IV, Oct 23 2015

Extensions

New name from Charles R Greathouse IV, Feb 14 2017, based on comment from Harvey P. Dale, Apr 01 2013