A384602 Numbers k such that T(k, 1) mod 3 = 1 and T(k, 2) mod 3 = 2, where T is the Wythoff array (A035513).

1, 10, 16, 25, 34, 40, 49, 55, 64, 73, 79, 88, 103, 112, 118, 127, 136, 142, 151, 166, 175, 181, 190, 205, 214, 220, 229, 238, 244, 253, 268, 277, 283, 292, 301, 307, 316, 331, 340, 346, 355, 370, 379, 385, 394, 403, 409, 418, 433, 442, 448, 457, 466, 472

Offset

1,2

Comments

This is one of 9 sets that partition the positive integers; see the Jun 04 2025 comment in A035513.

Links

Table of n, a(n) for n=1..54.

Example

(Row 10 of T) = (25, 41, 66, 107, ...)
((Row 10 of T) mod 3) = (1, 2, 0, 2, ...), so 10 is in the list.

Mathematica

w[n_] := {Floor[n*GoldenRatio] + n - 1, 2*Floor[n*GoldenRatio] + n - 1}
t = Table[Mod[w[n], 3], {n, 1, 500}];
Flatten[Position[t, {1, 1}]]   (* A384601 *)
Flatten[Position[t, {1, 2}]]   (* A384602 *)

Crossrefs

Cf. A035513, A384601.

Sequence in context: A152138 A109100 A392062 * A155151 A104788 A249720

Adjacent sequences: A384599 A384600 A384601 * A384603 A384604 A384605

Keyword

nonn

Author

Clark Kimberling, Jun 06 2025

Status

approved