A213676 Reversed Zeckendorf binary representation of natural numbers.

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, 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, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0

Offset

0

Comments

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

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

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

Links

Reinhard Zumkeller, Rows n = 0..1000 of triangle, flattened

Example

The first rows:
.   0:  [0]
.   1:  [1]
.   2:  [0,1]
.   3:  [0,0,1]
.   4:  [1,0,1]
.   5:  [0,0,0,1]
.   6:  [1,0,0,1]
.   7:  [0,1,0,1]
.   8:  [0,0,0,0,1]
.   9:  [1,0,0,0,1]
.  10:  [0,1,0,0,1]
.  11:  [0,0,1,0,1]
.  12:  [1,0,1,0,1].

Prog

(Haskell)
a213676 n k = a213676_tabf !! n !! k
a213676_row n = a213676_tabf !! n
a213676_tabf = [0] : map reverse a189920_tabf

Crossrefs

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

Sequence in context: A078588 A175992 A173922 * A309752 A209355 A141743

Adjacent sequences: A213673 A213674 A213675 * A213677 A213678 A213679

Keyword

nonn,tabf

Author

Reinhard Zumkeller, Mar 10 2013

Status

approved