A327299 Positions of 0's in {A327298(n) : n > 0}.

1, 2, 8, 9, 15, 16, 22, 23, 29, 30, 36, 37, 43, 44, 50, 51, 57, 58, 64, 65, 71, 72, 78, 79, 80, 85, 86, 87, 92, 93, 94, 99, 100, 101, 106, 107, 108, 114, 115, 121, 122, 128, 129, 135, 136, 142, 143, 149, 150, 156, 157, 163, 164, 170, 171

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) = 0. - Jianing Song, Sep 30 2019

Links

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

Crossrefs

Cf. A327298, A327300, A327301.

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