%I #19 Nov 01 2013 14:11:48
%S 5,14,17,19,22,31,33,36,38,47,50,52,55,64,67,70,79,82,84,87,96,98,101,
%T 103,112,115,117,120,129,131,132,134,143,146,148,151,160,162,165,167,
%U 176,179,181,184,193,196,199,208,211,213,216,225,227,230,232,241,244
%N Numbers of the form k + wt(k) for at least two distinct k, where wt(k) = A000120(k) is the binary weight of k.
%C The positions of entries greater than 1 in A228085, or numbers that appear multiple times in A092391.
%C Numbers that can be expressed as the sum of distinct terms of the form 2^n+1, n=0,1,... in multiple ways.
%H Vincenzo Librandi and Donovan Johnson, <a href="/A230058/b230058.txt">Table of n, a(n) for n = 1..10000</a> (first 1000 terms from Vincenzo Librandi)
%H <a href="/index/Coi#Colombian">Index entries for Colombian or self numbers and related sequences</a>
%e 5 = 3 + 2 = 4 + 1, so 5 is in this list.
%t Sort[Transpose[Select[Tally[Table[k + Total[IntegerDigits[k, 2]], {k, 0, 300}]], #[[2]] > 1 &]][[1]]] (* _T. D. Noe_, Oct 09 2013 *)
%Y Cf. A000120, A010061, A228088, A230091, A230092.
%K nonn,base
%O 1,1
%A _Matthew C. Russell_, Oct 07 2013