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!)
A213676 Reversed Zeckendorf binary representation of natural numbers. 9

%I #10 Mar 10 2013 16:39:27

%S 0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,1,

%T 0,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,

%U 0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0

%N Reversed Zeckendorf binary representation of natural numbers.

%C T(n,k) = A189920(n, A072649(n, k)-1) for k = 0..A072649(k)-1, n > 0;

%C A000201 = row numbers starting with an even number of zeros;

%C for n > 0: A035614(n-1) = number of leading zeros of n-th row.

%H Reinhard Zumkeller, <a href="/A213676/b213676.txt">Rows n = 0..1000 of triangle, flattened</a>

%e The first rows:

%e . 0: [0]

%e . 1: [1]

%e . 2: [0,1]

%e . 3: [0,0,1]

%e . 4: [1,0,1]

%e . 5: [0,0,0,1]

%e . 6: [1,0,0,1]

%e . 7: [0,1,0,1]

%e . 8: [0,0,0,0,1]

%e . 9: [1,0,0,0,1]

%e . 10: [0,1,0,0,1]

%e . 11: [0,0,1,0,1]

%e . 12: [1,0,1,0,1].

%o (Haskell)

%o a213676 n k = a213676_tabf !! n !! k

%o a213676_row n = a213676_tabf !! n

%o a213676_tabf = [0] : map reverse a189920_tabf

%Y Cf. A072649 (row lengths, n>0), A007895 (row sums).

%K nonn,tabf

%O 0

%A _Reinhard Zumkeller_, Mar 10 2013

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 June 6 11:36 EDT 2024. Contains 373127 sequences. (Running on oeis4.)