A349239 a(n) = n + (reversal of digits in the Zeckendorf representation of n).

0, 2, 3, 4, 8, 6, 12, 11, 9, 18, 16, 15, 24, 14, 28, 24, 22, 36, 22, 36, 32, 22, 44, 37, 33, 55, 32, 54, 47, 33, 55, 48, 44, 66, 35, 70, 58, 51, 86, 48, 83, 71, 48, 83, 71, 64, 99, 51, 86, 74, 67, 102, 64, 99, 87, 56, 112, 92, 80, 136, 74, 130, 110, 72, 128, 108

Offset: 0

Author

Kevin Ryde, Nov 11 2021

Keywords

• base
• easy
• nonn

Links

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

Crossrefs

Cf. A189920 (Zeckendorf digits), A349238 (reverse), A349240 (reverse and subtract), A348570 (Lychrels).

Other bases: A055944 (binary), A056964 (decimal).

Programs

PARI

\\ See links.

Python

# Using functions NumToFib and RevFibToNum from A349238.
n, a = 0, 0
print(a + a, end = ", ")
while n < 65:
    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 - A349240(n).