A392841 Number of trailing zeros in a type of Zeckendorf expansion based on the Fibonacci numbers of odd index.

0, 2, 1, 0, 4, 1, 0, 3, 0, 2, 1, 0, 6, 1, 0, 3, 0, 2, 1, 0, 5, 0, 2, 1, 0, 4, 1, 0, 3, 0, 2, 1, 0, 8, 1, 0, 3, 0, 2, 1, 0, 5, 0, 2, 1, 0, 4, 1, 0, 3, 0, 2, 1, 0, 7, 0, 2, 1, 0, 4, 1, 0, 3, 0, 2, 1, 0, 6, 1, 0, 3, 0, 2, 1, 0, 5, 0, 2, 1, 0, 4, 1, 0, 3, 0, 2, 1

Offset

1,2

Comments

This sequence is the limit, as k goes to infinity, of the finite sequences (A035614(F(2k+1)-i), i=2..F(2k+1)), where F(k) = A000045(k) is the k-th Fibonacci number.

Here are the first few such finite sequences:

k=1: 0

k=2: 0, 2, 1, 0

k=3: 0, 2, 1, 0, 4, 1, 0, 3, 0, 2, 1, 0

Links

Table of n, a(n) for n=1..87.

Crossrefs

Cf. A035614, A392842, A001519, A000045.

Sequence in context: A134082 A185740 A139360 * A326759 A140882 A334044

Adjacent sequences: A392838 A392839 A392840 * A392842 A392843 A392844

Keyword

nonn

Author

Jeffrey Shallit, Feb 21 2026

Status

approved