

A230058


Numbers of the form k + wt(k) for at least two distinct k, where wt(k) = A000120(k) is the binary weight of k.


7



5, 14, 17, 19, 22, 31, 33, 36, 38, 47, 50, 52, 55, 64, 67, 70, 79, 82, 84, 87, 96, 98, 101, 103, 112, 115, 117, 120, 129, 131, 132, 134, 143, 146, 148, 151, 160, 162, 165, 167, 176, 179, 181, 184, 193, 196, 199, 208, 211, 213, 216, 225, 227, 230, 232, 241, 244
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OFFSET

1,1


COMMENTS

The positions of entries greater than 1 in A228085, or numbers that appear multiple times in A092391.
Numbers that can be expressed as the sum of distinct terms of the form 2^n+1, n=0,1,... in multiple ways.


LINKS

Vincenzo Librandi and Donovan Johnson, Table of n, a(n) for n = 1..10000 (first 1000 terms from Vincenzo Librandi)
Index entries for Colombian or self numbers and related sequences


EXAMPLE

5 = 3 + 2 = 4 + 1, so 5 is in this list.


MATHEMATICA

Sort[Transpose[Select[Tally[Table[k + Total[IntegerDigits[k, 2]], {k, 0, 300}]], #[[2]] > 1 &]][[1]]] (* T. D. Noe, Oct 09 2013 *)


CROSSREFS

Cf. A000120, A010061, A228088, A230091, A230092.
Sequence in context: A245015 A196366 A306772 * A230091 A053782 A296692
Adjacent sequences: A230055 A230056 A230057 * A230059 A230060 A230061


KEYWORD

nonn,base


AUTHOR

Matthew C. Russell, Oct 07 2013


STATUS

approved



