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A030142 Odd numbers in which parity of digits alternates. 7

%I #20 Feb 14 2017 23:07:44

%S 1,3,5,7,9,21,23,25,27,29,41,43,45,47,49,61,63,65,67,69,81,83,85,87,

%T 89,101,103,105,107,109,121,123,125,127,129,141,143,145,147,149,161,

%U 163,165,167,169,181,183,185,187,189,301,303,305,307,309,321,323

%N Odd numbers in which parity of digits alternates.

%C a(n) = A179085(n) for n <= 25. - _Reinhard Zumkeller_, Jun 28 2010

%H Reinhard Zumkeller, <a href="/A030142/b030142.txt">Table of n, a(n) for n = 1..10000</a>

%H <a href="/index/Ar#10-automatic">Index entries for 10-automatic sequences</a>.

%F (a(n) mod 2) * A228710(a(n)) = 1. - _Reinhard Zumkeller_, Aug 31 2013

%t id[n_]:=IntegerDigits[n];t={}; Do[If[Length[id[n]]==1, AppendTo[t,n], If[Union[Abs[Differences[Boole /@ EvenQ[id[n]]]]] == {1}, AppendTo[t,n]]], {n,1,323,2}]; t (* _Jayanta Basu_, May 07 2013 *)

%t Join[{1, 3, 5, 7, 9}, Select[Range[21, 323, 2], Total[Abs[Differences[Mod[(id = IntegerDigits[#]), 2]]]] == Length[id] - 1 &]] (* _Zak Seidov_, May 07 2013 *)

%o (Haskell)

%o a030142 n = a030142_list !! (n-1)

%o a030142_list = filter odd a030141_list

%o -- _Reinhard Zumkeller_, Aug 31 2013

%Y Cf. A030143, A062285, intersection of A005408 and A030141.

%K nonn,base,easy

%O 1,2

%A _Patrick De Geest_

%E Offset corrected by _Reinhard Zumkeller_, Jun 28 2010

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Last modified April 16 07:08 EDT 2024. Contains 371698 sequences. (Running on oeis4.)