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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

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

Index entries for Colombian or self numbers and related sequences

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-Fran├žois 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

Leonid Broukhis

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 20 06:06 EST 2018. Contains 317385 sequences. (Running on oeis4.)