OFFSET

0,3

COMMENTS

All terms are fibbinary numbers (A003714).

To compute a(n): consider the run lengths in the binary expansion of n (i.e. the n-th row of A101211) and replace from left to right each value v > 1 at odd index with (1, v-1); at the end, there remain the run lengths in the binary expansion of a(n).

See A361676 for the greatest k's.

LINKS

Rémy Sigrist, Table of n, a(n) for n = 0..8191

Rémy Sigrist, PARI program

FORMULA

EXAMPLE

The first terms, in decimal and in binary, are:

n a(n) bin(n) bin(a(n))

-- ---- ------ ---------

0 0 0 0

1 1 1 1

2 2 10 10

3 2 11 10

4 4 100 100

5 5 101 101

6 5 110 101

7 4 111 100

8 8 1000 1000

9 9 1001 1001

10 10 1010 1010

11 10 1011 1010

12 10 1100 1010

13 10 1101 1010

14 9 1110 1001

15 8 1111 1000

PROG

(PARI) See Links section.

CROSSREFS

KEYWORD

nonn,base

AUTHOR

Rémy Sigrist, Mar 19 2023

STATUS

approved