A362921 The Dekking-van-Loon-canonical base-phi representation of n described in A362917 written as a binary string, omitting the dot.

0, 1, 1001, 1101, 10101, 10001001, 10100001, 10110001, 100010001, 100100101, 100110101, 101010101, 100000101001, 100010001001, 100011001001, 100101001001, 101000100001, 101010000001, 101011000001, 1000001000001, 1000010010001, 1000011010001, 1000101010001, 1001000100101, 1001010000101

Offset

0,3

Links

Table of n, a(n) for n=0..24.

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.

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

Jeffrey Shallit, Proving Properties of phi-Representations with the Walnut Theorem-Prover, arXiv:2305.02672 [math.NT], 2023.

Crossrefs

Cf. A362917, A341722.

Sequence in context: A044881 A291269 A317291 * A241946 A100846 A153814

Adjacent sequences: A362918 A362919 A362920 * A362922 A362923 A362924

Keyword

nonn,base,changed

Author

N. J. A. Sloane, May 27 2023.

Status

approved