A230058 - OEIS

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.

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

(list; graph; refs; listen; history; text; internal format)

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: A196366 A385643 A306772 * A230091 A053782 A296692

Adjacent sequences: A230055 A230056 A230057 * A230059 A230060 A230061

KEYWORD

nonn,base

AUTHOR

Matthew C. Russell, Oct 07 2013

STATUS

approved