The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A339216 Numbers k such that k and k+2 are both binary self numbers (A010061). 2

%I #8 Nov 29 2020 02:10:33

%S 4,13,21,30,37,46,54,78,86,95,102,111,119,128,133,142,150,159,166,175,

%T 183,207,215,224,231,240,248,270,278,287,294,303,311,335,343,352,359,

%U 368,376,385,390,399,407,416,423,432,440,464,472,481,488,497,505,526,534

%N Numbers k such that k and k+2 are both binary self numbers (A010061).

%C The least difference between consecutive binary self numbers is 2 (see Macris's proof at A010061).

%H Amiram Eldar, <a href="/A339216/b339216.txt">Table of n, a(n) for n = 1..10000</a>

%e 4 is a term since 4 and 6 = 4 + 2 are both binary self numbers.

%t s[n_] := n + DigitCount[n, 2, 1]; m = 550; c = Complement[Range[m], Array[s, m]]; d = Differences[c]; ind = Position[d, 2] // Flatten; c[[ind]]

%Y Cf. A010061.

%K nonn,base

%O 1,1

%A _Amiram Eldar_, Nov 27 2020

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 28 22:13 EDT 2024. Contains 372921 sequences. (Running on oeis4.)