A228723 Smallest number not less than n with alternating parities of digits in decimal representation.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 12, 14, 14, 16, 16, 18, 18, 21, 21, 21, 23, 23, 25, 25, 27, 27, 29, 29, 30, 32, 32, 34, 34, 36, 36, 38, 38, 41, 41, 41, 43, 43, 45, 45, 47, 47, 49, 49, 50, 52, 52, 54, 54, 56, 56, 58, 58, 61, 61, 61, 63, 63, 65, 65, 67

Offset

0,3

Comments

A228722(n) <= n <= a(n) and A228710(a(n)) = 1;

a(A030141(n)) = A030141(n); a(A228709(n)) > A228709(n).

lim sup a(n)/n = 2080/1881. - Charles R Greathouse IV, Sep 12 2013

Links

Reinhard Zumkeller, Table of n, a(n) for n = 0..10000

Example

a(100) = 101; a(1000) = 1010; a(10000) = 10101; a(100000) = 101010;
a(101) = 101; a(1001) = 1010.

Prog

(Haskell)
a228723 n = head [x | x <- [n..], a228710 x == 1]

Crossrefs

Sequence in context: A276444 A276443 A239139 * A247397 A194845 A194056

Adjacent sequences: A228720 A228721 A228722 * A228724 A228725 A228726

Keyword

nonn,base

Author

Reinhard Zumkeller, Aug 31 2013

Status

approved