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!)
A180018 Difference of sums of digits of n in decimal and in binary representation. 5

%I #11 Nov 06 2022 07:48:47

%S 0,0,1,1,3,3,4,4,7,7,-1,-1,1,1,2,2,6,6,7,7,0,0,1,1,4,4,5,5,7,7,-1,-1,

%T 4,4,5,5,7,7,8,8,2,2,3,3,5,5,6,6,10,10,2,2,4,4,5,5,8,8,9,9,2,2,3,3,9,

%U 9,10,10,12,12,4,4,7,7,8,8,10,10,11,11,6,6,7,7,9,9,10,10,13,13,5,5,7,7,8,8

%N Difference of sums of digits of n in decimal and in binary representation.

%H Reinhard Zumkeller, <a href="/A180018/b180018.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Coi#Colombian">Index entries for Colombian or self numbers and related sequences</a>

%F a(n) = A007953(n) - A000120(n);

%F a(A037308(n)) = 0;

%F a(A011557(n)) = 1 - A000120(A011557(n));

%F a(A000079(n)) = A007953(A000079(n)) - 1;

%F a(A002283(n)) = A008591(n) - A000120(A002283(n));

%F a(A000225(n)) = A007953(A000225(n)) - n.

%t Table[Total[IntegerDigits[n]]-Total[IntegerDigits[n,2]],{n,0,100}] (* _Harvey P. Dale_, Dec 27 2015 *)

%o (PARI) a(n) = sumdigits(n) - hammingweight(n); \\ _Michel Marcus_, Nov 06 2022

%Y Cf. A180017, A180019, A007088.

%Y Cf. A007953, A000120, A037308, A011557.

%Y Cf. A000079, A002283, A008591, A000225.

%K base,sign

%O 0,5

%A _Reinhard Zumkeller_, Aug 06 2010

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 21 05:34 EDT 2024. Contains 372728 sequences. (Running on oeis4.)