A395253 Differences of A395251.

3, 4, 3, 7, 7, 3, 7, 7, 3, 4, 3, 7, 3, 4, 3, 7, 7, 3, 4, 3, 7, 3, 4, 3, 7, 7, 3, 7, 7, 3, 4, 3, 7, 7, 3, 7, 7, 3, 4, 3, 7, 3, 4, 3, 7, 7, 3, 7, 7, 3, 4, 3, 7, 7, 3, 7, 7, 3, 4, 3, 7, 3, 4, 3, 7, 7, 3, 4, 3, 7, 3, 4, 3, 7, 7, 3, 7, 7, 3, 4, 3, 7, 3, 4, 3, 7, 7, 3, 4, 3, 7

Offset

1,1

Comments

Frequencies (sqrt(2)-1, 3-2*sqrt(2), sqrt(2)-1) for 3, 4, 7 respectively.

Belongs to the minimal subshift generated by the primitive morphism 3 -> 3,4; 4 -> 3,7; 7 -> 3,7,7, with Perron eigenvalue 1 + sqrt(2) (silver ratio).

Links

Table of n, a(n) for n=1..91.

Benoit Cloitre, Beatty solutions of almost Golomb equations, arXiv:2604.10822 [math.NT], 2026.

Mathematica

b[k_] := Floor[k/Sqrt[2] + 2*(Sqrt[2] - 1)]; q[k_] := b[b[k] + b[k - 1]] != k; Differences[Select[Range[500], q]] (* Amiram Eldar, Apr 17 2026 *)

Crossrefs

Cf. A395251.

Sequence in context: A358045 A371858 A111970 * A337493 A291317 A141730

Adjacent sequences: A395250 A395251 A395252 * A395254 A395255 A395256

Keyword

nonn

Author

Benoit Cloitre, Apr 17 2026

Status

approved