A349240 a(n) = n - (reversal of digits in the Zeckendorf representation of n).

0, 0, 1, 2, 0, 4, 0, 3, 7, 0, 4, 7, 0, 12, 0, 6, 10, -2, 14, 2, 8, 20, 0, 9, 15, -5, 20, 0, 9, 25, 5, 14, 20, 0, 33, 0, 14, 23, -10, 30, -3, 11, 36, 3, 17, 26, -7, 43, 10, 24, 33, 0, 40, 7, 21, 54, 0, 22, 36, -18, 46, -8, 14, 54, 0, 22, 36, -18, 62, 8, 30, 44

Offset: 0

Author

Kevin Ryde, Nov 11 2021

Keywords

• base
• easy
• sign

Links

• Kevin Ryde, Table of n, a(n) for n = 0..10000
• Kevin Ryde, PARI/GP Code

Crossrefs

Cf. A189920 (Zeckendorf digits), A349238 (reverse), A349239 (reverse and add).

Cf. A094202 (indices of 0's).

Other bases: A055945 (binary), A056965 (decimal).

Programs

PARI

\\ See links.

Python

# Using functions NumToFib and RevFibToNum from A349238.
n, a = 0, 0
print(a - a, end = ", ")
while n < 71:
    n += 1
    print(n - RevFibToNum(NumToFib(n)), end = ", ") # A.H.M. Smeets, Nov 14 2021

Formula

a(n) = n - A349238(n).

a(n) = 2*n - A349239(n).