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A054683 Numbers whose sum of digits is even. 19
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 (list; graph; refs; listen; history; text; internal format)
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
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
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
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

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Last modified February 21 16:55 EST 2024. Contains 370237 sequences. (Running on oeis4.)