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!)
A280700 Binary weight of terms of A005187: a(n) = A000120(A005187(n)). 6

%I #17 Apr 30 2021 16:29:35

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

%T 2,3,3,4,3,3,4,5,3,3,4,4,3,4,5,6,3,3,4,4,3,4,5,5,3,4,4,5,6,4,7,1,2,3,

%U 3,4,3,3,4,5,3,3,4,4,3,4,5,6,3,3,4,4,3,4,5,5,3,4,4,5,6,4,6,7,3,3,4,4,3,4,5,5,3,4,4,5,6,4,6,6,3,4,4,5,6,4,5

%N Binary weight of terms of A005187: a(n) = A000120(A005187(n)).

%H Antti Karttunen, <a href="/A280700/b280700.txt">Table of n, a(n) for n = 0..8191</a>

%F a(n) = A000120(A005187(n)).

%F a(n) = A001221(A283475(n)) = A001222(A283475(n)))) = A001222(A280705(n)).

%t Table[DigitCount[2 n - DigitCount[2 n, 2, 1], 2, 1], {n, 0, 120}] (* _Michael De Vlieger_, Mar 18 2017 *)

%o (Scheme) (define (A280700 n) (A000120 (A005187 n)))

%o (PARI)

%o b(n) = if(n<1, 0, b(n\2) + n%2);

%o for(n=0, 150, print1(b(2*n - b(2*n)), ", ")) \\ _Indranil Ghosh_, Mar 21 2017

%o (Python)

%o def A(n): return bin(2*n - bin(2*n)[2:].count("1"))[2:].count("1")

%o print([A(n) for n in range(151)]) # _Indranil Ghosh_, Mar 21 2017

%Y Cf. A000120, A001221, A001222, A005187, A279357, A280705, A283475.

%K nonn

%O 0,3

%A _Antti Karttunen_, Mar 16 2017

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 17 16:19 EDT 2024. Contains 372603 sequences. (Running on oeis4.)