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A270886 Numbers written in binary balanced system (A270885) that have exactly one zero. 4
2, 3, 9, 10, 11, 13, 37, 41, 42, 43, 45, 53, 149, 165, 169, 170, 171, 173, 181, 213, 597, 661, 677, 681, 682, 683, 685, 693, 725, 853, 2389, 2645, 2709, 2725, 2729, 2730, 2731, 2733, 2741, 2773, 2901, 3413, 9557, 10581, 10837, 10901, 10917, 10921, 10922, 10923 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..50.

Vladimir Shevelev, Two analogs of Thue-Morse sequence, arXiv:1603.04434 [math.NT], 2016.

EXAMPLE

43 = 2^5+2^3+2+1 = 2^6-2^5+2^4-2^3+2^2-2+2-1 = 1-11-110-1_b. So 43 is a member.

MATHEMATICA

Select[Range@ 11000, Count[Plus @@ {PadRight[#, Length@ # + 1], -PadLeft[#, Length@ # + 1]} &@ IntegerDigits[#, 2], 0] == 1 &] (* Michael De Vlieger, Mar 25 2016 *)

CROSSREFS

Cf. A270885.

Sequence in context: A135204 A037463 A309348 * A133557 A047475 A291610

Adjacent sequences:  A270883 A270884 A270885 * A270887 A270888 A270889

KEYWORD

nonn,base

AUTHOR

Vladimir Shevelev, Mar 25 2016

EXTENSIONS

More terms from Peter J. C. Moses, Mar 25 2016

STATUS

approved

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Last modified January 27 14:39 EST 2020. Contains 331295 sequences. (Running on oeis4.)