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

0,2

Links

Kevin Ryde, Table of n, a(n) for n = 0..10000

Kevin Ryde, PARI/GP Code

Formula

a(n) = n + A349238(n).

a(n) = 2*n - A349240(n).

Prog

(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

Crossrefs

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

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

Sequence in context: A223540 A364138 A300868 * A176077 A332778 A263694

Adjacent sequences: A349236 A349237 A349238 * A349240 A349241 A349242

Keyword

base,easy,nonn

Author

Kevin Ryde, Nov 11 2021

Status

approved