A374395 a(n) is the first term in the n-th row of A374394.

0, 0, 0, 1, 0, 2, 2, 0, 1, 3, 3, 4, 0, 2, 2, 5, 6, 5, 7, 7, 0, 1, 3, 3, 4, 8, 10, 10, 8, 9, 11, 11, 12, 0, 2, 2, 5, 6, 5, 7, 7, 13, 14, 16, 16, 17, 13, 15, 15, 18, 19, 18, 20, 20, 0, 1, 3, 3, 4, 8, 10, 10, 8, 9, 11, 11, 12, 21, 23, 23, 26, 27, 26, 28, 28, 21

Offset

0,6

Comments

a(n) is the least number z >= 0 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

Formula

a(n) = A022290(A374355(1+A003754(n)), k).

a(n) = n - A374396(n).

Prog

(PARI) \\ See Links section.

Crossrefs

Cf. A003754, A022290, A374355, A374394, A374396.

Sequence in context: A343489 A360742 A109754 * A220074 A059259 A124394

Adjacent sequences: A374392 A374393 A374394 * A374396 A374397 A374398

Keyword

nonn,base

Author

Rémy Sigrist, Jul 10 2024

Status

approved