A054683 Numbers whose sum of digits is even.

0, 2, 4, 6, 8, 11, 13, 15, 17, 19, 20, 22, 24, 26, 28, 31, 33, 35, 37, 39, 40, 42, 44, 46, 48, 51, 53, 55, 57, 59, 60, 62, 64, 66, 68, 71, 73, 75, 77, 79, 80, 82, 84, 86, 88, 91, 93, 95, 97, 99, 101, 103, 105, 107, 109, 110, 112, 114, 116, 118, 121, 123, 125, 127, 129, 130

Offset

1,2

Comments

Union of A179082 and A179084; A179081(a(n)) = 0. - Reinhard Zumkeller, Jun 28 2010

Integers with an even number of odd digits. - Bernard Schott, Nov 18 2022

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..1000

Index entries for 10-automatic sequences.

Index entries for Colombian or self numbers and related sequences

Formula

a(n) = 2*n for the first 5 terms; a(n) = 2*n + 1 for the next 5 terms (recurrence).

I.e., for n > 0, a(n + 10) = a(n) + 20. - David A. Corneth, Jun 05 2016

Example

0, 2, 4, 6, 8, 11 (2), 13 (4), 15 (6), 17 (8), 19 (10), 20 (2), 22 (4) and so on.

Mathematica

Select[Range[0, 200], EvenQ[Total[IntegerDigits[#]]]&] (* Harvey P. Dale, Jan 04 2015 *)

Prog

(PARI) is(n)=my(d=digits(n)); sum(i=1, #d, d[i])%2==0 \\ Charles R Greathouse IV, Aug 09 2013
(PARI) a(n) = n--; m = 10*(n\5); s=sumdigits(m); m + (1-(s-1)%2) + 2*(n%5) \\ David A. Corneth, Jun 05 2016
(Python)
A054683_list = [i for i in range(10**3) if not sum(int(d) for d in str(i)) % 2] # Chai Wah Wu, Mar 17 2016

Crossrefs

Cf. A179081, A270264.

Subsequences: A014263, A099814, A179082, A179084.

Similar: A054684 (with an odd number of odd digits), A356929 (with an even number of even digits).

Sequence in context: A128403 A205556 A051244 * A327255 A287777 A249099

Adjacent sequences: A054680 A054681 A054682 * A054684 A054685 A054686

Keyword

nonn,easy,base

Author

Odimar Fabeny, Apr 19 2000

Extensions

More terms from James A. Sellers, Apr 19 2000

Example corrected by David A. Corneth, Jun 05 2016

Status

approved