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 A010061 Binary self or Colombian numbers: numbers that cannot be expressed as the sum of distinct terms of the form 2^k+1 (k>=0), or equivalently, numbers not of form m + sum of binary digits of m. 26
 1, 4, 6, 13, 15, 18, 21, 23, 30, 32, 37, 39, 46, 48, 51, 54, 56, 63, 71, 78, 80, 83, 86, 88, 95, 97, 102, 104, 111, 113, 116, 119, 121, 128, 130, 133, 135, 142, 144, 147, 150, 152, 159, 161, 166, 168, 175, 177, 180, 183, 185, 192, 200, 207, 209, 212, 215, 217 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS No two consecutive values appear in this sequence (see Links). - Griffin N. Macris, May 31 2020 REFERENCES Max A. Alekseyev, Donovan Johnson and N. J. A. Sloane, On Kaprekar's Junction Numbers, in preparation, 2017. Steven R. Finch, Mathematical Constants, Cambridge, 2003, Section 2.24. LINKS Antti Karttunen, Table of n, a(n) for n = 1..10000 Griffin N. Macris, Proof that no consecutive self numbers exist MAPLE # For Maple code see A230091. - N. J. A. Sloane, Oct 10 2013 MATHEMATICA Table[n + Total[IntegerDigits[n, 2]], {n, 0, 300}] // Complement[Range[Last[#]], #]& (* Jean-François Alcover, Sep 03 2013 *) PROG (Scheme, with Antti Karttunen's IntSeq-library) (define A010061 (ZERO-POS 1 0 A228085)) (Haskell) a010061 n = a010061_list !! (n-1) a010061_list = filter ((== 0) . a228085) [1..] -- Reinhard Zumkeller, Oct 13 2013 CROSSREFS Complement of A228082, or equally, numbers which do not occur in A092391. Gives the positions of zeros (those occurring after a(0)) in A228085-A228087 and positions of ones in A227643. Leftmost column of A228083. Base-10 analog: A003052. Cf. A010062, A055938, A230091, A230092, A230058. Cf. A228088, A227915, A232228. Sequence in context: A247787 A074165 A137821 * A280557 A266665 A249715 Adjacent sequences:  A010058 A010059 A010060 * A010062 A010063 A010064 KEYWORD nonn,base AUTHOR EXTENSIONS More terms from Antti Karttunen, Aug 17 2013 Better definition from Matthew C. Russell, Oct 08 2013 STATUS approved

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Last modified November 28 02:22 EST 2020. Contains 338699 sequences. (Running on oeis4.)