A327301 Positions of 2's in {A327298(n) : n > 0}.

5, 6, 7, 12, 13, 14, 19, 20, 21, 26, 27, 28, 33, 34, 35, 41, 42, 48, 49, 55, 56, 62, 63, 69, 70, 76, 77, 83, 84, 90, 91, 97, 98, 104, 105, 111, 112, 113, 118, 119, 120, 125, 126, 127, 132, 133, 134, 139, 140, 141, 146, 147, 148, 154, 155, 161, 162, 168, 169, 175

Offset: 1

Author

Clark Kimberling, Sep 06 2019

Keywords

• nonn
• easy

Comments

The positive integers are partitioned by A327299, A327300, and A327301.

Although a(n)/n->3, the sequence a(n)-3n appears to be unbounded.

Positive integers k such that A327298(k) = 2. - Jianing Song, Sep 30 2019

Links

• Clark Kimberling and Jianing Song, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A327298, A327299, A327300.

Programs

Mathematica

r = Pi; z = 300;
t = Table[Floor[3 n*r] - 3 Floor[n*r], {n, 1, z}]  (* {A327298(n) : n > 0} *)
Flatten[Position[t, 0]]  (* A327299 *)
Flatten[Position[t, 1]]  (* A327300 *)
Flatten[Position[t, 2]]  (* A327301 *)

Extensions

Corrected by Jianing Song, Sep 30 2019