A362918 Length of the part of n to the left of the decimal point in the Dekking-van-Loon-canonical base phi representation of n.

1, 1, 2, 2, 3, 4, 4, 4, 5, 5, 5, 5, 6

Offset

0,3

Comments

a(n) = length of the binary string A362917(n).

References

Dekking, Michel, and Ad van Loon. "On the representation of the natural numbers by powers of the golden mean." arXiv preprint arXiv:2111.07544 (2021); Fib. Quart. 61:2 (May 2023), 105-118.

Links

Table of n, a(n) for n=0..12.

Michel Dekking and Ad van Loon, On the representation of the natural numbers by powers of the golden mean, arXiv:2111.07544 [math.NT], 15 Nov 2021.

Crossrefs

Cf. A105424, A341722, A362917.

Sequence in context: A138161 A307483 A034136 * A189638 A097535 A060018

Adjacent sequences: A362915 A362916 A362917 * A362919 A362920 A362921

Keyword

nonn,base,more

Author

N. J. A. Sloane, May 26 2023

Status

approved