A374396 a(n) is the last term in the n-th row of A374394.

0, 1, 2, 2, 4, 3, 4, 7, 7, 6, 7, 7, 12, 11, 12, 10, 10, 12, 11, 12, 20, 20, 19, 20, 20, 17, 16, 17, 20, 20, 19, 20, 20, 33, 32, 33, 31, 31, 33, 32, 33, 28, 28, 27, 28, 28, 33, 32, 33, 31, 31, 33, 32, 33, 54, 54, 53, 54, 54, 51, 50, 51, 54, 54, 53, 54, 54, 46

Offset: 0

Author

Rémy Sigrist, Jul 10 2024

Keywords

• nonn
• base

Comments

a(n) is the greatest number z <= n such that the Zeckendorf representations of z and n-z have no common Fibonacci numbers and when combined together correspond to the lazy Fibonacci representation of n.

Links

• Rémy Sigrist, Table of n, a(n) for n = 0..10944
• Rémy Sigrist, PARI program
• Index entries for sequences related to Zeckendorf expansion of n

Crossrefs

Cf. A003754, A022290, A374356, A374394, A374395.

Programs

PARI

\\ See Links section.

Formula

a(n) = A022290(A374356(1+A003754(n)), k).

a(n) = n - A374395(n).